I am a grad student, so I keep weird hours. They go to bed/get up when I do. Sometimes I will stir in the mornings around 7 a.m. or so (when I don't need to get up until 830 or 9) and they will get up on the bed & snuggle. But if I don't get up, they just go back to sleep with me.
Some mornings I have to get up at 5, though, and they like to go back to bed.
They always get a right-before-bed peepee opportunity, regardless of what time I go to bed.