I don't like seeing them travel before they shoot. They are not in the NBA.
The NCAA changed the travel rules in 2019 after the zero/gather step (James Harden) became a big weapon. It's not as wide open as the NBA but they still have quite a bit of leeway. In both occurrences I saw in the video, it's legal. What you're seeing in the video, IMO, is 4.a.3 which I highlighted from the updated 2019 travel rules:
4. A player who catches the ball while moving or ends a dribble may stop and establish a pivot foot as follows:
a. When both feet are off the playing court and the player lands:
1. Simultaneously on both feet, either may be the pivot foot;
2. On one foot followed by the other, the first foot to touch shall be the pivot foot;
3. On one foot, the player may jump off that foot and simultaneously land on both, in which case neither foot can be the pivot foot.
b. When one foot is on the playing court:
1. That foot shall be the pivot foot when the other foot touches in a step;
2. The player may jump off that foot and simultaneously land on both, in which case neither foot can then be the pivot foot.
5. After coming to a stop and establishing the pivot foot:
a. The pivot foot may be lifted, but not returned to the playing court, before the ball is released on a pass or try for goal;
b. The pivot foot shall not be lifted before the ball is released to start a dribble.
6. After coming to a stop when neither foot can be the pivot foot:
a. One or both feet may be lifted, but may not be returned to the playing court, before the ball is released on a pass or try for goal;
b. Neither foot shall be lifted, before the ball is released, to start a dribble.
7. It is traveling when a player falls to the playing court while holding the ball without maintaining a pivot foot.
This was really evident with Cooper's jumper at the end of the video. The one I did see (and will be called) is Key sliding coming to a stop. I feel like we see that quite a bit every year where he can't quite stop his momentum on driving and coming to a sudden stop.