In a word, yes. While Wine has been an option for decades, Valve and Proton have made gaming on Linux mainstream. You can check compatibility reports from https://www.protondb.com/ for whichever games you're interested in.
Isn't Steam (or more specifically steamwebhelper.exe) using Chromium Embedded Framework for web views? It's already a 64-bit process for me on Windows.
I also do wish they'd upgrade the client completely, but WoW64 isn't going anywhere. It's probably discussions like this on Linux side that would move their hand, if anything.