Qubes OS doesn't run on any "fully capable x86 desktop".
It's based on Xen and hardware virtualization. There are very few desktop computers recommended to run Qubes [0]. Does Framework support suspend on Qubes? If it works, it could become popular in the Qubes Community.
I know a core developer (Marek) recently got a Framework 16 and submitted some fixes after early testing iirc - might be worthwhile chasing it with him
[0] https://forum.qubes-os.org/t/community-recommended-computers...