Laptops have to be taken out of the carrying case to go through security.
They’re probably not going to do anything to it, but I have heard of them wanting you to turn it on. It’ll probably just go through with everything else.
Me, I’m paranoid enough not to put the laptop through the X-ray until I know I’m going to walk right through myself. It doesn’t need to be sitting out there while I’m stuck on the other side of the security line.
At the hotel, I wouldn’t leave it out. I’d put it in the safe and charge it at night. Just because. Nothing would probably happen… but you also never know. It’s not just Mousekeeping… the doors sometimes stay open while they’re cleaning… what if the Mousekeeper is cleaning in the bathroom and someone just walks by? I wouldn’t want to worry about it… I’d just lock it up.