LOL! I think the Warnings will ALWAYS be in there. Atleast I've never seen a clean one. Errors are bound to happen, but most are not actual critical issues.
...you could always tweak it to not page anything to the Event Logs, though. If one's concern is management saying you weren't doing your job, this would atleast be a way to play a bit of cloak and dagger with these sort of pages ...not that I'd ever suggest that.
I personally leave all mine on Warnings and Errors.