I guess the Foley crowd might hype the camera clicks in a movie, just wondering about everyday real press conferences.
When we watch a professional basketball game they close mic and EQ the net so we hear a nice audible swoosh when they score.
Sometimes 2 mics - one on the net, the other on the backboard for the ball impact sound and sometime the resonance of rim, depending on what the director is wanting.
For wrestling it's common to hide a lav mic in each corner post to get the impact sounds and grunts from the talent when they're hurled or slammed into the turnbuckles. Under-ring micing for the slaps, slams and booms. Wrestling ring suspension & structure are built to make noise, BTW. You almost never hear the ring in a boxing match.
I think part of the camera sounds you're hearing is in fact AGC related... possibly the open mic(s) to pick up the press pool questions. Lots o' gain as it's primarily for the media feed & archive.