When watching G.W. Bush’s prime-time news conference the other day (4/13/2004), I was surprised that none of the networks presented captions identifying the name of the questioner and the associated news organization. What gives? When and why was this practice dropped?
I can’t say I ever recall seeing such a practice at a live news conference. How are the caption guys to know who is who?
I was watching NBC and I saw some, but not all, of the reporters indentified by an on-screen graphic.
CNN ran a super underneath their own John King identifying him as “John King – Senior White House Correspondant.”
What would their motivation be to increase the visibility of their competitors’ bylines? 
ABC identified at least some of the questioners. Of this I am certain because I remember noticing the “lower third” (the TV industry term for the name ID caption) of the ABC reporter and the last guy – the NPR reporter, IIRC. Whether they lower-thirded everyone, I can not say.
Probably too much trouble for the director or producer to come up with one. Except for the reporters who work for you. Then you already have a graphic ready.
But why ID the ace reporter from another network who ends up making GWB break down and start crying.
You mean Bawbaw Waltuhz?
To echo Stuyguy -
ABC did come up with the names and affiliations of the interviewers (interrogators?) in real time on the crawl-bar at the bottom of the screen.