Indeed! They can put it down! I've always limited it in the past, but giving free reign on video games and tv worked so well that I thought I'd try it. It's crazy hard, but I'm seeing light at the end of the tunnel.
As for the late nights, my clock changes periodically. For a while I will go to bed early and get up early. Then I'll go to bed late and get up early still, sometimes for many months. Right now it's go to bed late and get up late, so that works with her for the moment. I just know I can't leave her and go to sleep because I occasionally have to convince her that midnight is not a good time to go pick flowers. She has that 4th child independence, so if I wasn't awake, she'd be out there for sure, and we have lots of wild animals here. Some nights I do wish we had the padded room, but if I need to sleep and turn the lights out and lie down, she will (sometimes begrudgingly) humor me.