I had fenders on the madison at one point but the rake of the fork and the shorter tt puts the front wheel too close to my feet, creating big toe overlap. I use fenders on a different bike. The frame has holes on the fork and rear for direct mount fenders.
I'm going to go out on a limb and say the Madison is a better bike in every way possible except for actual track use. But again, the Madison is way stiffer but has a heavier frame.
madison, stripped
pista, non-stock carbon fork

did you strip the paint off of the madison?
how did you do that?