Good question. It's probably more important to make sure that you have adequate air/water exchange. You can have the top of your water exposed to air, but if it's not being "moved" in any way, or you don't have a protein skimmer, which injects air into your water, you may "not" have enough O2 in your water. But just leaving the top off, is not going to make any difference. Get a powerhead that gently disturbs the surface of your water, and you'll be ok, regardless of wether you have a top or not. If you do happen to have "suicidal" fish, go ahead and tell them to jump, just make sure you have a container of sw for them to jump into....they'll thank you later.
:hilarious