hypothermic

No. The IME could be disabled via hardware like Purism have done with their Librem series, but it seems like Framework hasn't made the effort to do so. They also still use a proprietary firmware on their ECs. In the future they plan to support Coreboot but if you ask me it is far down their bucket list.

I assume most people use FDE nowadays. Unless you're using a really well modified LUKS setup the encryption keys stay in RAM while the PC is hibernating/sleeping. So I think it's reasonable to assume most people shut their laptop down overnight.