Jump stop then pivot...Travel?

[The R]

I found myself in the middle of a rules clinic following a game yesterday. The coach was concerned that we were calling a travel when his players jump stopped then pivot.
He was under the impression that many coaching/training videos instruct you do this.
Here are some examples of what he was talking about.
Hoop Group Skills Drill of the Week- Jump Stop/ Pivot/ Pass - YouTube

It seems the key that the players and coach are missing is the point where the ball is gathered. During the game they were gathering the ball with a foot on the floor, jumping off that foot, landing on both feet simultaneously, then creating a pivot.

If while they were still dribbling when they jumped in the air, then gathered the ball, followed by landing on both feet simultaneously, then they could legally create a pivot. Correct?

What do you think about the moves in the video? Legal or no?