Whatever is right or wrong, photographing people in the middle of disputes is guaranteed escalation. Sometimes it is exactly what is needed but other times it is exactly what is not needed.
Would a customer that wanted to file a complaint about something need to do this? With place and time/date the airline pretty well knows who was there. If necessary one can add a physical description to the complaint. I think photographing an employee of a business in response to a dispute can only be interpreted as a personal threat. What do others think? Do people think that doing this is going to suddenly persuade the TA, GA, or FA to back down and change their approach? The normal process to get that to happen is supposed to be calling a supervisor (who will also know exactly who on his side is causing a problem if anyone is.)
Also, if it is really true that the change was to the name of a different person rather than to correct an error, do they do that for a change fee? I thought you couldn't do that.