For Lunar:

root@lunar:/tmp# dpkg -l | grep libzypp
ii  libzypp-bin                            17.25.7-2.3ubuntu0.23.04.1        amd64        openSUSE/SLES package management system library (library tools)
ii  libzypp-common                         17.25.7-2.3ubuntu0.23.04.1        all          openSUSE/SLES package management system library (common files)
ii  libzypp-config                         17.25.7-2.3ubuntu0.23.04.1        all          openSUSE/SLES package management system library (configuration)
ii  libzypp1722:amd64                      17.25.7-2.3ubuntu0.23.04.1        amd64        openSUSE/SLES package management system (library)
ii  zypper                                 1.14.42-2                         amd64        command line software manager using libzypp
ii  zypper-common                          1.14.42-2                         all          command line software manager using libzypp (common files)
root@lunar:/tmp# cat /etc/os-release 
PRETTY_NAME="Ubuntu 23.04"
NAME="Ubuntu"
VERSION_ID="23.04"
VERSION="23.04 (Lunar Lobster)"
VERSION_CODENAME=lunar
ID=ubuntu
ID_LIKE=debian
HOME_URL="https://www.ubuntu.com/"
SUPPORT_URL="https://help.ubuntu.com/"
BUG_REPORT_URL="https://bugs.launchpad.net/ubuntu/"
PRIVACY_POLICY_URL="https://www.ubuntu.com/legal/terms-and-policies/privacy-policy"
UBUNTU_CODENAME=lunar
LOGO=ubuntu-logo
root@lunar:/tmp# mkosi -d opensuse -r tumbleweed --format=directory --package=systemd build
‣ Removing output files…
‣ Detaching namespace
‣ Setting up temporary workspace.
‣ Temporary workspace set up in /tmp/.mkosi-fl4ofptb
‣ Running second (final) stage…
‣  Mounting image…
‣   Setting up basic OS tree…
‣   Mounting Package Cache
‣    Installing openSUSE…
Adding repository 'repo-oss' ................................................................................................................................................................................[done]
Repository 'repo-oss' successfully added

URI         : http://download.opensuse.org/tumbleweed/repo/oss/
Enabled     : Yes
GPG Check   : Yes
Autorefresh : No
Priority    : 99 (default priority)

Repository priorities are without effect. All enabled repositories share the same priority.
Adding repository 'repo-update' .............................................................................................................................................................................[done]
Repository 'repo-update' successfully added

URI         : http://download.opensuse.org/update/tumbleweed/
Enabled     : Yes
GPG Check   : Yes
Autorefresh : No
Priority    : 99 (default priority)

Repository priorities are without effect. All enabled repositories share the same priority.
‣     Mounting API VFS…

Automatically importing the following key:

  Repository:       repo-oss
  Key Name:         openSUSE Project Signing Key <email address hidden>
  Key Fingerprint:  AD485664 E901B867 051AB15F 35A2F86E 29B700A4
  Key Created:      Mon Jun 20 15:03:14 2022
  Key Expires:      Fri Jun 19 15:03:14 2026
  Rpm Name:         gpg-pubkey-29b700a4-62b07e22


Building repository 'repo-oss' cache ........................................................................................................................................................................[done]
Building repository 'repo-update' cache .....................................................................................................................................................................[done]
Loading repository data...
Reading installed packages...
Resolving package dependencies...

The following 136 NEW packages are going to be installed:
  aaa_base alts bash bash-sh boost-license1_82_0 branding-openSUSE busybox busybox-gawk busybox-grep busybox-sed busybox-xz chkstat compat-usrmerge-tools coreutils crypto-policies dbus-1 dbus-1-common
  dbus-1-daemon dbus-1-tools diffutils file-magic filesystem fillup findutils glibc glibc-locale-base gpg2 kbd kbd-legacy krb5 libabsl2301_0_0 libacl1 libalternatives1 libapparmor1 libassuan0 libattr1 libaudit1
  libaugeas0 libblkid1 libboost_thread1_82_0 libbrotlicommon1 libbrotlidec1 libbz2-1 libcap-ng0 libcap2 libcom_err2 libcrypt1 libcurl4 libdbus-1-3 libeconf0 libexpat1 libfa1 libfdisk1 libgcc_s1 libgcrypt20
  libglib-2_0-0 libgmp10 libgpg-error0 libgpgme11 libidn2-0 libip4tc2 libkeyutils1 libkmod2 libksba8 libldap2 liblua5_4-5 liblz4-1 liblzma5 libmagic1 libmount1 libncurses6 libnghttp2-14 libnpth0 libnss_usrfiles2
  libopenssl3 libpcre2-8-0 libpkgconf3 libpopt0 libproc2-0 libprotobuf-lite23_4_0 libproxy1 libpsl5 libreadline8 libsasl2-3 libseccomp2 libselinux1 libsepol2 libsigc-2_0-0 libsmartcols1 libsolv-tools
  libsqlite3-0 libssh-config libssh4 libstdc++6 libsystemd0 libudev1 libunistring5 libusb-1_0-0 libutempter0 libuuid1 libverto1 libxml2-2 libyaml-cpp0_7 libz-ng-compat1 libzck1 libzstd1 libzypp ncurses-utils
  netcfg openSUSE-build-key openSUSE-release openSUSE-release-appliance-custom pam pam-config patterns-base-minimal_base patterns-glibc-hwcaps-x86_64_v3 permissions permissions-config pinentry pkgconf pkgconf-m4
  pkgconf-pkg-config procps4 rpm rpm-config-SUSE system-group-hardware system-user-root systemd systemd-default-settings systemd-default-settings-branding-openSUSE systemd-presets-branding-openSUSE
  systemd-presets-common-SUSE sysuser-shadow terminfo-base util-linux zypper

<...>
(135/136) Installing: libutempter0-1.2.1-1.2.x86_64 .........................................................................................................................................................[done]
Additional rpm output:
rpm: RPM should not be used directly install RPM packages, use Alien instead!
rpm: However assuming you know what you are doing...


(136/136) Installing: util-linux-2.39-1.1.x86_64 ............................................................................................................................................................[done]
Additional rpm output:
rpm: RPM should not be used directly install RPM packages, use Alien instead!
rpm: However assuming you know what you are doing...


Executing %posttrans script 'coreutils-9.3-1.2.x86_64.rpm' .........<10%>=======================================================================================================================================[/]
Output of systemd-presets-common-SUSE-15-30.1.noarch.rpm %posttrans script:
    Created symlink /etc/systemd/system/multi-user.target.wants/remote-fs.target -> /usr/lib/systemd/system/remote-fs.target.
    Created symlink /<email address hidden> -> /usr/lib/systemd/system/getty@.service.
    Created symlink /etc/systemd/system/multi-user.target.wants/kbdsettings.service -> /usr/lib/systemd/system/kbdsettings.service.
    Created symlink /etc/systemd/user/basic.target.wants/systemd-tmpfiles-setup.service -> /usr/lib/systemd/user/systemd-tmpfiles-setup.service.
    Created symlink /etc/systemd/user/timers.target.wants/systemd-tmpfiles-clean.timer -> /usr/lib/systemd/user/systemd-tmpfiles-clean.timer.

Executing %posttrans scripts ................................................................................................................................................................................[done]
‣     Unmounting API VFS…
RPM files caching has been disabled for repository 'repo-oss'.
RPM files caching has been disabled for repository 'repo-update'.
‣   Unmounting Package Cache
‣   Recording packages in manifest…
‣   Resetting machine ID
‣  Unmounting image…
‣ Linking image file…
‣ Linked image
‣ Saving manifest image.manifest
‣  Changing ownership of output file image.manifest to user root…
‣  Changed ownership of image.manifest
‣ Resulting image size is 213.4M.