I had assumed that he was talking about the white tape, but the Franken Tape would have worked for the black tape as well since it is a black tape itself, but very thin. Because it is thin and somewhat slick, I use it on top of any white tape I place in the front part of the thumbhole. By varying the position of the Franken Tape, which is easy to do since the Franken Tape can be removed several times and easily replaced without losing its stickiness on the adhering side, I can adjust how much of the white tape is exposed for my gripping purpose.
I was thinking that if his white tape was too tacky for him, he could use the Franken Tape on top of it, thereby reducing the amount of tackiness he is feeling. It may or may not work for him, but he can try the Franken Tape for free so he is not losing anything by trying.