Has anyone gotten a game or account ban using Linux with Lutris or Heroic Games Launcher?

I built a PC for the family yesterday, and I’m hoping to get away with going 100% Linux. What makes me a little nervous is that Epic Games, GOG, battle.net, EA store, etc don’t officially support Linux. If I try using Lutris, or Heroic Games Launcher, or something similar to use those platforms, is there a chance my account...