I think there is a large, silent majority, even among the young, who know perfectly well that men are not women and are mostly rolling their eyes at all the demands, but not pushing back.
I suspect the lack of objection is partly because they don’t see the harm it’s causing, and in some cases is out of fear of the backlash/ loss of friends if they do voice their opinions.
Some evidence of this does exist. For example, even at Edinburgh University (allegedly at the forefront of transactivism) when pronoun badges were offered at Freshers’ week, the vast majority indicated they were not in favour of them.
I am glad the BBC are continuing to hold out, thus far. They have, of course, created a problem for themselves, having made no attempt to provide a balanced perspective on this topic. Now they have to row back from that position, and there will be strenuous attempts to prevent that happening. The next weeks and months could be very unpleasant indeed.