Somewhat related, I learned a long time ago that each broadcast station (in the USA) mix their audio in a different way during NFL and college football games. I noticed Fox sports mixes crowd noise at a higher level—-drowning out the announcers; my opinion. The other day I walked into our living room and heard the TV (the the Ohio State vs. Michigan game) and I immediately said to my wife “oh, so the game is on Fox?” She said “nope, it’s ABC…oh, you’re right! That’s why it sounds weird.”
There are a few budget-related factors here - remote vs. on-site production, number and type of field-level mics.
One soccer league I watch broadcasts matches in three places: streaming-only, cable-only, and OTA-only.
Streams get the smallest budget ($10k) and have the worst field-level audio, just one mic usually positioned away from the loudest fans and near the benches, which means the coaches and bench players are loud and clear but everything else is muddled. A 20k-attendance sold-out stadium in full-volume cheer sounds hollow. They're also remotely produced with off-site commentators, so the director and audio mixer (who only has the one field mic anyway) don't even know if the crowd is _supposed_ to be loud to the viewing audience.
The OTA-only matches, at 10x or more budget, get mics surrounding the field and behind the goals, mics on field-level cameras, and depending on the venue additional mics in or pointed at the most raucous section. They're also produced on-site with on-site commentators, who modulate their voices along with the crowd noise. More resources and more on-site attention result in a much more dynamic and engaging mix, the director has options to switch to a field-level camera and raise its volume, and so on.