Yes Bryce, it does. Some rubbers react to spin more and some rubbers are easier to use the sponge. All this affects your racket angles or place on the "clock" where you impact the ball.
As described above, one has to consider the dynamics of the incoming ball (amount of spin, speed, height, vector) and also you have to decide what type of shot you wish to play. For a slow, extreme spinny loop, you have to brush the ball more. For a faster return, the whole stroke is different. As richard also said, your bat speed is important. Differnet bat speeds at impact affect the ball.
For example, against an incoming bottomspin ball, to make a heavy spin slow loop, you brush more and swing upwards more. To make a power loop vs the same ball, you open the blade and swing more forward. Fast racket speed at impact is real important, so one has to use the whole body to loop. (and of course be in position and strike the ball in the optimal power zone)
Another factor is when you take the ball. Right off the bounce, the spin affects your angle less. The vector that the ball is traveling will cause you to use a different bat angle (which means you impact a different place on hte ball) Example: You use a much more forward stroke to hit an incoming topspin ball that is on the rise and you impact closer to the top. When the ball is falling, you have to lift more and hit more towards the behind.
One thing not mentioned yet is that if you make a HOOKSHOT, you mitigate some of the reaction of the ball off your racket. It is much easier and safer to use the perpendicualr axis to impact as the ball will bite little using that axis. This is why the "bananna" loop is easy for a newb to learn and execute as spin does not easily affect the rebound as the player is side-swiping the ball. Pros sometimes do this for a ball that is heavy, but are unsure of the exact amount. Problem is, the "bananna" loop gives the opponent a slow ball, so it must be well placed, or it will be punished. The hookshot is a pretty safe shot if hit cross court and the "kick" is often troublesome to opponents.
Exploding through the ball is important in all offensive shots, whether it is a powerloop, or a slow, heavy topspin.
You develop a sense of how to adjust these variable through knowing the general principles of spin and reaction, plus a boatload of practice.