If the police had been doing their job properly they wouldn't have needed the public to act in a less "disappointing" way.
Recording an incident on your phone is a natural reaction for some people when they are faced with a strange/frightening incident. It's a way of feeling like you are taking some kind of action, a form of action that is comfortable for you. I personally don't see anything wrong with it provided it is being done to record evidence, obviously sharing it for entertainment is a bit twisted.
It would be helpful if rather than criticising the public for behaving in a certain way the Chief Inspector detailed exactly what they should have done instead. Do they want people to physically intervene and break the fight up? If so, will they be protected or will they end up being questioned and having their lives disrupted?
Personally I would never get involved in a fight that didn't involve someone known to me being attacked. I've walked past a few incidents in the street before, I stayed out of it when my former neighbours assaulted one another (he hit her once, she hit him another time, both times the assaulter was arrested and back home in a few hours).
I think the turning point for me was when I read (in an actual printed local newspaper, which shows how long ago it was) about a woman being sought by police for grabbing a child outside a school. The article detailed her appearance etc and urged anyone who knew her to contact the police. Her suspected "crime" was to pull a child out from the path of a reversing lorry when they had tripped over running behind it. That was it - no other suggestion of wrongdoing, just preventing them being crushed to death.
No stranger's life is worth risking my own for, nor do I think it worth risking arrest or police investigation for. I'll phone 999 and I'll record evidence from a safe distance, but the rest I'll leave to those who are paid to intervene.