Assuming he gathered the ball in the air, the part in red is wrong.

The only time he can't use a pivot is if he has to land on both feet. If he's allowed to land one foot at a time, but instead lands on both feet, then either foot may be the pivot.

Wait what? I need to re read that rule. That makes a lot more sense, I could never figure out why you wouldn't be allowed but the way I read it you couldn't. That is also the way it is taught here???

Three sorts of jump stops.
1. Player gathers in the air and lands on two feet. Same as if he had gather with two feet on the floor. Either foot may be a pivot.

2. Player gathers in the air, lands on one foot, jumps and lands on both feet simultaneously. Neither foot may be a pivot, but either or both may be lifted as long as it/they don't come back down prior to shooting, passing, or asking for a timeout.

3. Player gathers, while moving, with one foot on the floor, jumps and lands on both feet. Same restrictions as #2.

Ok yeah that is the way I read it. I guess maybe I just missunderstood what you were saying.

I missed the gathering in the air part.

Well then, the part in blue below is wrong. :D That would be a travel.

OK? Let me make sure I'm not confused lol. In the OP I read that A1 was dribbling then leaped I'm assuming off of one foot and then landed then the ball came loose.

yeah, I think the consensus is he jumps, then gathers the ball, then lands and the ball comes loose. He can recover this fumble and establish a pivot foot based on how he recovers the ball.