In my experience, doesn't matter. You can use lutris/bottles or install on a windows pc and copy files to the Deck and it'll work, the distro is irrelevant in this case.
I stick with Steam OS because I don't see any real world benefits of changing to another distro
Yeah same here, I just install on my laptop using Lutris and then copy the installed folder over to the Steam Deck and add the main .exe as a non-Steam game. (And turn wifi off just to be safe.) Always worked fine for me so far.
Why are you not doing all of this on the Steam Deck instead? I guess you are not using it docked so its more convenient on a laptop or is there another reason?
None of them will give you a truly different experience. The benefit to something like Bazzite is the almost zero maintenance and the fact that it comes with everything you need without additional work.