It is perfectly feasible to align yourself into the correct position to get into the 2x2 hole. I added this fairly early on in the level and did give the player a lot of space to use. Once players master that section it becomes more clear how to get into certain areas easily.
About the "perfect spot" you mention, you can always manoeuvre yourself into it no matter where you currently are. After all this is a puzzle game, you just have to figure out how you get into that perfect spot which isn't as tricky as you may think. You must work out a technique.