Another way to look at it is that Joran could easily have called the same police back to deal with the situation. One can try to imagine it was a savage attack by the 'bum', or one can focus on the fact that the word 'annoyed' was used several times. Being annoyed by someone isn't really a good excuse for physically accosting them.
Tossing someone off a bridge for annoying isn't usually what people would call hero behaviour. Hardly matters if the person was killed or not. It's hard to imagine, seeing how physically large Joran is, that a bum was doing much more than was admitted- annoying him.
Doesn't really matter much, in my opinion. Makes him look like a jerk, but has nothing to do with evidence in this case. Unless it can be used as evidence in this case, it's just something interesting to talk about concerning Joran's character. And character, or lack thereof is not what he's going to be tried for.
