Can masturbation cause acne?

I have a theory that irregular masturbation schedules cause acne.

Zinc deficiency has some correlation with increased acne development. Ejaculation removes a large amount of Zinc from the body. People don't often eat foods high in zinc or take supplements. Could be a cause if correlation is real.
Off-hand, Zinc is also an important co-factor to testosterone enzymes, likely explaining the nofap meme