Comment 16 for bug 1498059

However, the tool seems to ignore multiarch.
I have some 32-bit packages from lts-wily stack installed here (the system is 64-bit Xubuntu 14.04):

$ aptitude search ~ilts-wily | grep i386
i A libegl1-mesa-lts-wily:i386 - free implementation of the EGL API -- runt
i A libgbm1-lts-wily:i386 - generic buffer management API -- runtime
i A libgl1-mesa-dri-lts-wily:i386 - free implementation of the OpenGL API -- D

But they're not shown in the unsupported packages list:

$ hwe-support-status --show-all-unsupported
xserver-xorg-video-mga-lts-wily libgles1-mesa-lts-wily
xserver-xorg-video-r128-lts-wily xserver-xorg-video-qxl-lts-wily
xserver-xorg-video-nouveau-lts-wily
xserver-xorg-input-vmmouse-lts-wily xserver-xorg-input-mouse-lts-wily
linux-image-extra-4.2.0-42-generic xserver-xorg-video-savage-lts-wily
xserver-xorg-video-siliconmotion-lts-wily
xserver-xorg-video-vmware-lts-wily linux-image-generic-lts-wily
xserver-xorg-input-wacom-lts-wily xserver-xorg-input-evdev-lts-wily
xserver-xorg-video-neomagic-lts-wily
xserver-xorg-video-sisusb-lts-wily linux-generic-lts-wily
libgbm1-lts-wily xserver-xorg-core-lts-wily libgl1-mesa-dri-lts-wily
libgbm1-lts-wily libgl1-mesa-dri-lts-wily
xserver-xorg-video-mach64-lts-wily
xserver-xorg-video-openchrome-lts-wily virtualbox-guest-x11-lts-wily
libwayland-egl1-mesa-lts-wily linux-image-4.2.0-42-generic
xserver-xorg-video-radeon-lts-wily xserver-xorg-video-fbdev-lts-wily
xserver-xorg-video-intel-lts-wily xserver-xorg-video-tdfx-lts-wily
xserver-xorg-video-cirrus-lts-wily libwayland-egl1-mesa-lts-wily
linux-headers-generic-lts-wily libxatracker2-lts-wily
xserver-xorg-input-synaptics-lts-wily xserver-xorg-lts-wily
xserver-xorg-video-ati-lts-wily xserver-xorg-video-all-lts-wily
xserver-xorg-video-trident-lts-wily libglapi-mesa-lts-wily
xserver-xorg-input-all-lts-wily libegl1-mesa-lts-wily
libgl1-mesa-glx-lts-wily libegl1-mesa-lts-wily
virtualbox-guest-utils-lts-wily xserver-xorg-video-vesa-lts-wily
libgles2-mesa-lts-wily virtualbox-guest-dkms-lts-wily