We have LVFS updates in lvfs testing but there is a bios capsule update bug that wipes the boot entries on update. Feedback from 3.07 was that some distros fail to boot after the update because they do not put a efi loader in the fallback path of the ESP partition. So we are hesitant to enable LVFS on 11th gen due to this issue.
The code that handles this runs from the previous bios, so we cannot fix this in the capsule.
We do offer a EFI update which you can use without booting into windows.
https://knowledgebase.frame.work/en_us/framework-laptop-bios...