All three are stable for general desktop use on Arch Linux (so up to date kernels etc). The NVIDIA set up has massive compute advantages (CUDA), but for desktop use if anything I have fewer issues on AMD - especially relating around desktop tearing and video which is where I have the most pain with NVIDIA.
Black screens & hard freezes are nonexistent. Gaming performance on the Steam Deck and APU is reasonable for the hardware. Proton works better for me with AMD than NVIDIA (which makes sense, after all Valve’s development of it is aimed at the steam deck primarily).