Yes that’s definitely the main difference as you need to brush up the ball slightly more to get the lift over the net against backspin. Using the legs a body a bit more as well, but Liam in the Masterclass explains this very well. I also feel the wrist is key in the shot to be relaxed and accelerating to help get the spin as well.
Answer for difference-backhand-topspin-vs-backhand-topspin-vs-backspin
