Enlightenment session does not register with xsession and cannot be selected in update-alternatives

[Pierre]

In Lubuntu 20.04, if you install the Enlightenment desktop, it does not register in xsession or something. You can login but you cannot set it as default using:

sudo update-alternatives --config x-session-manager

ProblemType: Bug
DistroRelease: Ubuntu 20.04
Package: enlightenment 0.23.1-4
ProcVersionSignature: Ubuntu 5.4.0-26.30-generic 5.4.30
Uname: Linux 5.4.0-26-generic x86_64
ApportVersion: 2.20.11-0ubuntu27
Architecture: amd64
CasperMD5CheckResult: skip
CurrentDesktop: LXQt
Date: Mon Apr 27 13:06:09 2020
InstallationDate: Installed on 2020-04-24 (3 days ago)
InstallationMedia: Lubuntu 20.04 LTS "Focal Fossa" - Release amd64 (20200423)
SourcePackage: e17
UpgradeStatus: No upgrade log present (probably fresh install)