The first video seemed a decently simplistic perspective from a well known and respected trainer with LE experience. No surprises.
He apparently felt it a good idea to make a followup video, which has been posted ...
Stopping Power Part 2 - YouTube
The second video goes into a little further detail, but again, it seems to be an intentionally simplistic perspective for general internet audiences.
Having known and listened to a fair number of LE folks who have been involved in on & off-duty shootings, I haven't heard much emphasis placed on specific calibers, brands of ammunition/hollowpoint types, capacity or even specific brands/designs of handguns promoted.
Instead, the two primary subjects that seem to be mentioned most often have been:
The importance of making aimed/accurate hits on armed criminal attackers.
Having(developing) the proper state of mind to allow someone to
properly & effectively function under stress, and which enables them to access the training & tactics they've previously learned & practiced.
As a firearms instructor, one of the best things I've ever heard said after someone has been involved in a lawful shooting incident has been that the "training works".
Another time when I was demonstrating a technique to some instructors, I enjoyed hearing one of them (who had been himself involved in 2 lawful shootings) comment that he wished he'd known that technique before he'd been involved in his shooting incidents.
Training & mindset. Knowledge of the laws. Pretty important topics, I'd think.
The specific caliber, ammunition and handgun are rather more in the way of
equipment issues.
If you have a choice, suit yourself ... but don't let the equipment issues needlessly distract you from arguably more critical considerations.
If you don't have a choice (issued equipment for employment, or restrictions resulting from licensing, local laws, etc), then put your focus and attention on those important issues over which you may have some control, such as training, mindset & proper practice.
It probably wouldn't hurt to become familiar with the recommended maintenance practices offered by the firearm manufacturer, either.
You can buy shiny ammunition in nicely designed & eye-catching packages. Training & mindset? Not so easily.
Just some thoughts ...