I'm using 12th gen processor, latest versions of Ubuntu and Linux
Ubuntu: Ubuntu 22.04.1 LTS
Linux: 5.17.0-051700-generic
The only problems I've had so far is the "brightness" fn keys don't work, and bluetooth isn't great with certain devices like Airpods.
The brightness keys isn't a big deal, can still set brightness in the OS. It's probably fixable through some manual keymapping.
Bluetooth is more annoying but I somehow doubt it's a hardware issue. I just ended up getting Sony wireless earbuds to complete my transition away from Apple.
That being said, I also tried to dual boot Windows. Windows really does not like the hardware, and the Framework driver install package (https://knowledgebase.frame.work/en_us/framework-laptop-bios...) had limited effect in fixing the issues. Lots of bugs with audio and graphics.
So, for now I would say it is too premature for Windows, but great for Linux!