Any person with training in grappling arts can see that In the video of the incident the guy performing the choke hold is very inexperienced in the technique.
I think sometimes people/students with little training think they're better than they really are at executing a technique, and either wind up getting hurt or hurting someone.
In the "old days" some instructors taught that it was easier to put a choke hold on someone who had been hit(kicked or punched) pretty hard, which sometimes created the opening to go in for the choke hold or some other type restraint.
(I used to use a low kick to the shin followed by a shoulder restraint type hold to walk people out of the bar I was working.) I was never a fan of full nelson type holds because it forced you to control a lot of their body. Plus if the bad guy is bigger than you, chances are a Full Nelson is going to be extremely difficult to apply.
Wrist locks look pretty in movies but are hard to do in real life scenarios because people's hands get sweaty and some people(especially women) have very flexible wrists and are difficult to put this type of control on.
I did use Elbow cranks or shoulder restraints(or arm bar - applied between the elbow and shoulder). Limb Destruction techniques from Escrima, sometimes work to get a violent person to cooperate. Leg kicks to the bad guys shin or hamstring work well also.
There's lots of different restraint techniques out there but it's best to focus on being able to do a few at a high level.
As a civilian, taking on the liabilities(criminal and civil) of trying to restrain a person is not something I'd recommend or encourage.
If you learn a restraint hold properly and get in a lot of reps you learn how to relax the hold once a person complies. You can "usually" feel a person relaxing once a hold is applied properly and you learn to relax the pressure while still being in position to apply pressure again if necessary.
We always teach students that when the hold has been applied(or they're in pain) to tap on the person's arm to let them they're in pain from the hold or to immediately stop the hold.
Every person is different(mentally and physically) so it takes years and lots of practice to be able to adjust a hold for the particular situation without causing permanent damage.