I don’t think it mentions timing of that statement though. Once he woke up they said he had to stay around long enough to pee his own. That phone call could have been made once he came to and pulled his own catheter. It does kind of raise questions though.
You may want to go back and watch it again. He specifically says that the hospital called his relative, and then said how did they know who his relative was when they had a "John Doe" wristband on him?