Mint Update insists on "updating" a kernel version that is not installed

[kneekoo]

Describe the bug
On my new PC I can't boot to graphics mode without a kernel newer than 5.15, so I installed 6.1 and it's fine now. But after I uninstalled 5.15 (being useless to me), the update manager insists on installing the most recent version in the 5.15 branch.

Screenshots

Expected behavior
If I don't have kernels in a certain branch, the update manager should not prompt me to install those "updates".

Distribution:

• Linux Mint 21.1 Cinnamon

Software version:
5.9.8

Additional context
Extra bug: as seen in the screenshot, kernel 6.1 is marked as "-oem-oem" in the "You are currently using..." text, although its name end only with "-oem". For some reason, an extra label is added by the kernel manager.

[kneekoo]

For a bit more context, this is what shows up in the Packages section:

[P-Woods]

It does a similar thing for mine.
Running unsigned-lowlatency kernels Update always wished to install the generic version.
It also calls the installed kernel "-lowlatency-lowlatency"
See the screenshot:

[icedream]

I am running into this with an oem kernel as well (I specifically use the linux-oem-22.04d/linux-image-6.5.0-1016-oem packages). It keeps insisting that it needs to upgrade the linux-generic image when I don't even have it installed according to apt.

[icedream]

Turns out this is happening because mintupdate has its own glib setting it uses to track which type of kernel you have installed. It can be overridden for the current user by overwriting the setting selected-kernel-type in schema com.linuxmint.updates with the proper suffix (e. g. -oem for an OEM kernel):

gsettings set com.linuxmint.updates selected-kernel-type -oem

In my case, I even had to set up a system-wide override like this to make it default for any user logging into the system:

sudo tee /usr/share/glib-2.0/schemas/99_mintupdate.oem.gschema.override >/dev/null <<'EOF'
[com.linuxmint.updates]
selected-kernel-type = '-oem'
EOF

Only specific values are "supported", if the value is unsupported it will default to -generic hence suggesting generic kernel instead for the case that the original description of this issue describes where the suffix was repeated.
Relevant part of the code:

mintupdate/usr/lib/linuxmint/mintUpdate/Classes.py

Lines 21 to 30 in cafc82c

	settings = Gio.Settings(schema_id="com.linuxmint.updates")
	SUPPORTED_KERNEL_TYPES = ["-generic", "-lowlatency", "-aws", "-azure", "-gcp", "-kvm", "-oem", "-oracle"]
	KERNEL_PKG_NAMES = ['linux-headers-VERSION', 'linux-headers-VERSION-KERNELTYPE', 'linux-image-VERSION-KERNELTYPE', \
	'linux-modules-VERSION-KERNELTYPE', 'linux-modules-extra-VERSION-KERNELTYPE']
	KERNEL_PKG_NAMES.append('linux-image-extra-VERSION-KERNELTYPE') # Naming convention in 16.04, until 4.15 series
	CONFIGURED_KERNEL_TYPE = settings.get_string("selected-kernel-type")
	if CONFIGURED_KERNEL_TYPE not in SUPPORTED_KERNEL_TYPES:
	CONFIGURED_KERNEL_TYPE = "-generic"

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[kneekoo]

This still happens in a fully updated Mint 22.3 (Cinnamon).