I've seen all the episodes to date. So far, there have been two times I can recall where Aya carries Razer. The first is after his ring fizzles out mid-air and she swoops in to catch him. The second is in Blue Hope, where Razer spends a lot of time getting toted by various characters. Most just pull him along in a construct, while Aya actually carries him in her arms.
He doesn't get at upset at her in either case, or even look uncomfortable. Which is pretty neat.
Am I remembering a scene differently, or is there another Aya-carrying-Razer scene? Because if so, I need to go back and re-watch it!