Not saying you didn’t experience this, but I’ve definitely run StarCraft 2 in the past, and I play Anno 1800 regularly fine (thanks to the mods I’ve been playing it’s even got 50% more sessions than the base game)
StarCraft 2 worked, oddly enough, run from Steam as an external program. (Lots of search results tried to get me to use Lutris/bottles, but I couldn't get it to work consistently under Lutris.)
Was also able to get WoW, Diablo 4, WC3 and SC1 running well this way, since they're all in a single Wine Battle.net install.