I have the 16 and use NixOS. I haven't had any issues. I'm able to use the fingerprint scanner and all of the function keys do what they're supposed to.
If you're not already aware, there's a nixos-hardware repo with common settings for various devices that you can import. All of the Framework laptops have a module there. Although, if I recall correctly, everything worked fine before I pulled that into my config, so it seems like the hardware scan did a good job making everything just work.
Taking the opportunity to get on my soapbox and remind everyone that free software still requires someone's time and effort to maintain. If you've been using a free app for a while and you and you enjoy it (and you have the means to do so), consider sending a donation to the developers/maintainers! It's a good way to help ensure that the great, free app you enjoy stays great and free.
Yep, that's the one. I can't speak to the compatibility though because I got the one without a dedicated GPU.