For me with wraps, I have to consciously pop them/my knees to start the movement, because when they are wrapped properly, they do not allow you to easily bend your knees. I don't know if I push my knees out more due to wraps or a suit, but I also have to consciously push the knees out when equipped.
If I were you, I would play with some wrapped loosely to see how it feels. They can provide stability and warmth, not just rebound. If you plan on competing raw, make sure that either your federation allows wraps, or do not use wraps for a while before your meet.