I think it's absurd even to suggest.
This is NBC we're talking about. Big Media. Haven of the most extreme gun-control freaks. Coverage of shooting sports doesn't support the narrative.
Although NBC is the only American television coverage, there are other media companies with print/digital reporting, as well as other countries’ media. I think that female athletes are successful in the media mainly for their looks, with less concern for performance. Consider Anna Kournikova and Danica Patrick: neither was all that in terms of winning, but very successful in a bikini (or out of it).
The paying customers want eye candy, and those women athletes who fit the Barbie mold, including wearing very little, draw the attention. The majority who are too big and strong, too lean and attenuated, short-haired, with ordinary faces, or wearing too many clothes generally aren’t what advertisers want shown.
I hate to think of them getting hit by hot, just-fired brass. Not a problem with shotguns, of course, but rifle or pistol, could happen. I've often gotten some just-ejected brass down my shirt front. Ignore the burn and take the next shot.