If you remove those limits, it would absolutely wipe the floor with the twitching corpse of any human player.
I saw it play Warcraft 2 without the limiters, and it was just ridiculous. It would dance the units around and keep using them with 1 hp left for many minutes and then heal them back up juuuuust enough to take exactly one hit from an enemy.
Almost everyone in the community seemed to agree AlphaStar was very unfair. Things like a 3 way surround and performing blink micro on individual Stalkers on opposite sides of the screen are completely inhuman.
This is also what made the Dota 2 bots feel somewhat disappointing. Of course perfect mechanical skill beats humans. Watching the SF mid 1v1 matches illustrated this very clearly to me. The AI chipped the player down with perfect AAs, then finished them off with perfect distance razes.
The bots weren't 100% mechanical skill, but it was a large enough proportion that it was uninteresting.
Funny, my game of choice is StarCraft 2 and when I watched AlphaStar beat StarCraft 2 pros I was significantly less impressed than when I watched AlphaGo beat Lee Sedol at Go.