That being said, you need a big game before performance should be an issue. Assuming you are using sweep scan with aabb.
This is not a big game, but anyway this is another point I want to focus on. I want to use circle shapes, and not AABB's, so my final collision check will be a distance calculation. I didn't get the sweep scan with aabb, I mean, if I'm not doing it that way, could I have any performance issue?