There's an old military maxim that the army is always prepared to fight the last war - and so they are always caught on the wrong foot when the next war comes along with new equipment, tactics, and strategies in a new environment.
So there are a few points to make here:
Every struggle is different, and requires a strategy tailored to it.
The legacy media is the chief reason why the public hates us, thanks to a century and a half of levying false accusations against us, which kicked into overdrive forty years ago. It is doubtful whether we should use this tool to reverse the harm it has done.
The legacy media is already discredited. No one believes a word they say any more because they have been telling blatant lies for so long, and therefore their support would likely cause us more harm than good at this point.
We have learned some useful things from the struggle for gay rights, but we are in a different situation. One of those differences is that the people we love are not in a position to give us much support. Another of the differences is that we are not even being attacked on our own account, but are being attacked because our attackers know that we are the chief obstacle in the way of enslaving future generations - the only thing preventing them from erasing the past and molding younger generations into obedient slaves. They accuse us of their own crimes because that is how they distract attention from themselves and get us out of their way at the same time.