Walking around slowly and predictably can be fine. I find it the hardest when people barely move enough so that the camera has to follow only a little bit - but

Walking around slowly and predictably can be fine. I find it the hardest when people barely move enough so that the camera has to follow only a little bit - but wait it's fine now, oh no they moved out of the frame just enough so I have to do something - oh wait they're back.. You'd think this could be solved with the proper zoom angle but then the pros get on your case with too much headspace, unfavorable body cut lines and never forget to never film the audience. I just talked to a speaker for tomorrow who, from the video material, assumed they'd be talking in front of maybe a hundred people. They're scheduled for room B which holds about 2000 and got a shock.. so the dimensions look quite different on the stream. The issue can be mitigated by a better filming crew really. The mixer is really important for coordinating (when the cameras do random stuff once in a while you probably have a inexperienced mixer who uses the intercom too little). It's possible to follow the speaker well enough if the mixer gives breaks and the camera tripod settings are right for you. Special cases get an experienced crew. Not sure about the stage fright. I think it depends on the details actually, but I'm still working on that too.