I don't rightly know the answer to your question. Daerandin says that Flash is 'built in' to Chrome. I can't confirm or deny that since I don't use Chrome. If it is built in as he says, then I would think that removing the package would not affect Chrome.
I'm not sure why it would be more secure in one browser than another. Flash is Flash, no matter where it is. I could be wrong about that, though.
I would try what I posted above, then try out both of your browsers and see if there is any missing functionality that you need. If there is, you can always install it again. There's no harm done.
FWIW, I haven't used the Flash plugin for ages, and don't miss it.