Check on the vent pipe.
I don't want anything else in the tank, that is one reason I am going the sump route instead of an fx5 or the like. So I am not really sure about the air check valve. It would seem to me that after the first priming, that it is pointless(I have never had a sump/overlfow before). Pharoh mentioned that air will eventually get caught in the overflow, and then the siphon will stop. It seems to me that if that air check tube isn't there, then air wouldn't be able to get in.
I am probably sounding pretty ingnorant (which I am), but I just can't understand the purpose of it. I watch you-tube videos on overflows, and it seems like they just use it to prime the overflow, then they disconnect the air pump and that is that.
I am going to try and find some different articles online, because this is still a little confusing.