While I've had issues doing bios updates on my Framework, it's been more due to the fact that my main drive has too small of an EFI partition to update with the main drive in the laptop (who knows why it takes so much space to update the firmware in the first place).
That said, with another drive (and a larger EFI partition), I've been able to do 4 or 5 different bios updates on my AMD 7040 Framework 13.