Does dampening drums affect sensitivity?

My snare drum head (Evans dbZero) has some snapping issues at higher volumes, which in turn causes double triggering within SP. The sound is a little bothersome too so I’m considering placing a small pillow within the drum to dampen it and prevent that happening.
Will this affect the sensitivity of the sensors at all?

(Here’s the sound:!AkYTCXJx8gK0g4k89yeLGgWGSchgSQ?e=bKHzSo)