I have been using Archlinux for more than 10 years and from time to time some major upgrades can make things broken for a couple days until all the packages get updated and all the relevant compatibility fixes have been pushed upstream by the developers. But in most cases this happens with some 3rd party desktop related packages or closed source drivers. I bet that Valve won't have that many problems with AMD since their drivers are open source.
Or just use packages and make regular snapshots.
I bet that the underlying distribution doesn't matter much at all, and since this console is meant to also be a desktop (or living room) PC, might as well ship with a distribution that's good for that purpose. Arch makes more sense for desktops than Ubuntu, and has for a while tbh.
Still, I think Arch is an interesting choice for a console. I'd think you'd want stability (in the sense of very controlled changes / not requiring updates every day).