At this point I'd say there's no sense in speculation. We've seen both sides, police and golfers (both are human) screw up. I doubt that either side intended to make headlines today before the 2nd round started. I'd say let's hope both sides, recover OK from it.
With that said, I can see a detective not having a body camera for this although I'm sure others likely did. A detective having a body cam at all times, like an officer on patrol isn't the norm or necessary in my opinion. Reason being is because detectives aren't usually responding to or initiating activity that requires them, if they expect a police action is likely or even possible, then they usually have one. However, an incident like this does show why you should/could need one while working a detail, even if it's as simple as a traffic detail.
With all of that said. You could have a large debate as to when law enforcement should or shouldn't have a body camera and when it should or shouldn't be activated etc.