Why not first allow the AI to have unlimited APM and beat humans, then restrict it later? Because I don't think we're even close to the easier problem.
StarCraft is precisely such universe. If you could micromanage units perfectly, you can do some amazing tricks. Here's an example of what I'm talking about: https://www.youtube.com/watch?v=IKVFZ28ybQs
This is a different type of bot we're talking about here. A neural net could not learn to work with unlimited apm more easily than limited apm. That just doesn't make sense. That's like saying it's easier to compute 1000 hashes in a second than it is to compute one hash in a second.