Sounds perfectly ok to me. Blue is 18 weeks now, and still goes out for the toilet at 11/12 ish (before my DH goes to bed), then I get up at 5.30 and 7. By the time it's daylight - around 5 - 5.30 at present here, he's wide awake and full of the joys, wanting to play, so getting him to stay quietly in his pen is not easy for that last couple of hours, but he does settle down if I close the door and say 'see you soon!'. (He does usually do both wee and poop at 5.30though, so I'm reluctant to cancel that visit yet. My intention being to extend it by 5 minutes each day until I am just getting up at 7ish).
To me, it's a small price to pay for what was a very quick process of toilet training him.