It's not so much about motherboard brand as it is about the chips used on any given model. For example, ASUS makes some boards with Intel i225-v ethernet, and others with Realtek RTL822x ethernet. The Intel chip is notorious for stability problems on all platforms, and although I think the linux drivers eventually managed to work around them, the boards with the Realtek chip avoided those problems entirely.
With that in mind, I suggest you look at a few key chips used on any board you're considering, and search linux forums for problem reports with their model numbers. In particular:
- Ethernet
- Wi-Fi
- Audio
Sometimes you can find comparison charts for such things, like this one for socket AM5 boards
Also, it's nice to have a board that can update its own BIOS from a flash drive, rather than requiring a Windows program to do it.