I think anyone who believes that "quitting" will relieve any stress related to keeping it secret might find temporary relief. But there is also stress involved in denial - maybe worse stress - and that will eventually catch up with you.
That's coming from someone who purged at least twice before I accepted of who I am, which made it unnecessary to ever purge again. And I think that's the key here, acceptance of who we are, not something we do.
To me, the idea of "quitting" this part of me is like trying to quit having two feet.