You don't need to line up at a microphone to ask your questions. A simple cardiod or shotgun mic put up high in the back corner, or even right in front of the podium out of view of the recording camera, pointed at the media would be enough. Heck, even an area mic or y-pair would be fine. With enough gain on the pre-amp, it will pick up everyone in the crowd asking questions.
It's really not difficult to do. If they're running a mic to the podium, they can very likely run a second (or even third) mic to a portable 4-channel mixer and capture that feed as well.
It's not difficult to do and very practical. I've been doing it on a daily basis at my job for years, so I would know.
Other teams make it happen. Rangers can too. It's not difficult. No excuses.
While this is close to being true, you would still need a mixer in the room (multiple shotguns may get it done depending on the size of the room, just not located behind them) but a parabolic mic requires the equipment and someone to aim it, a tech to set it up etc.
All of that costs money. Now, being that the same room is used it could be permanently wired and micd but again ur talking about money and someone to run it and mix it downstream of the control room or prod truck.
Historically the "press" was print media and no one cared to hear the questions. That has obviously changed over the past 30 years but a lot of sports TV still hasn't adapted either due to money or due to laziness or the perception that the answers and athletes are really all that matters.
In the sport I cover the print media often don't want to use a mic (we have multiple hand helds passed around or two main "question" stations they can ask from) because they feel their questions illicit answers that they themselves have earned (sort of intellectual property). That perception is becoming more rare... but still exists.
Simple answer: It can be done.
Is it worth it? Nowadays I would say yes.
Why hasn't it been done? Money. But eventually it'll be standard.
Hope this helped the OP