They have declared the surgery 100% successful! His eyes do not turn at all with his glasses on, and his right eye only turns slightly without the glasses, which was expected. He doesn't even need an update to his prescription for his farsightedness right now.
All of this means that we are done with the ophthalmology team at the children's hospital and he can go back to having regular yearly check ups with our family eye doctor.
What a relief!