@tomekwsrod is absolutely correct.
Blizzard forums are full of Mac users complaining how poorly Starcraft runs on Mac. I don't think Blizzard cares - Starcraft got nickel and dimed by them with the free to play- I don't think they're going to put much more effort into it. Now that Microsoft owns them, who knows, but I wouldn't expect much.
Like the link you posted right above this post - I love Starcraft II. The campaigns are amazing and I love the mutations - quick games that don't require me to invest large mounts of time. Starcraft II is probably the #1 game I've played over the last handful or so of years.
The M1 does really well at old games in my experience but Starcraft II is just poor. I can do Age of Empires II with Crossover and it plays extremely smooth, even large 500 pop / 6 player games on extra large maps. I can even do old dos / windows 3.11 games on Crossover/Parallels in Windows on the Mac and it plays like native (where it didn't on the Intel Macs). Got Star Trek Armada to run but couldn't get Homeworld to work.
But yeah unless you're ok with playing Starcraft II on low graphics settings, it's a poor experience and even then, expect crashes often - don't change settings while playing mutations, lol, it will crash. It is doable on low settings (1080p).
Warcraft Classic (WOTLK) and I think retail is Apple Silicon native and plays beautifully. Been having a lot of fun on BC/WOTLK with some old BC/WOTLK friends recently.