So give the mods even more work, when you know if people are this angry for no reason, they'll still be angry then, too.

Unless you wanted the mods to allow it twice a week, that would mean people would have to wait twice as long for their preferred time slot to come up. So then, they'd be bitching that they had to wait two weeks between being able to join in.

Let's be honest; the mods are already having to deal with these babies throwing their fits when they've already put a rule in place to try and make things more accommodating for people in other time zones. They'll just find another reason to be angry.