We shouldn't give too much credence to the narratives, or believe that the propaganda alone has this great persuasive effect. It only works in tandem with ruthlessly rooting out any sign of dissent. Neoliberalism has always been predicated on a vast police state and all the mechanisms necessary for that to work. There is a reason why neoliberals obsess over perfect information and computerization.
Setting up the scenario where rebellious people are convinced that playing dead in the street is some sort of protest, was a long-run mindfuck that began many decades ago. That said, there is something to be said about the fecklessness of many left organizations, and these tactics aren't merely working from the sheer power exerted from above. There is something in the base of left formations that is being exploited, or leading to the same cycle of failure we've become used to. The ritual we saw in June/July where protestors would be kettled in what are pretty useless demonstrations should have been seen for the failure that it was, but there wasn't the basis for something bigger - not that there wasn't desire, because people are still very very pissed and angry about the state of affairs at the moment.
That all said, LGBTetc. was never a vehicle for any sort of revolutionary change. The initial conflicts over the gay question that made any impression upon people was the question of basic human rights like not being imprisoned or killed arbitrarily, and ultimately how many ordinary people were that zealous about hunting down the homosexual? The initial pogroms were carried out by a vocal minority, who were empowered by the state for the state's own reasons. So much of the modern "LGBT" discourse is not about liberation, but about pigeonholing a segment of sexual deviants and making sure they stay in their lane so to speak. It stopped being about any civil or human rights, and about normalizing and impressing on people certain psychological associations. On the side, the ruling powers have given low-key support for those who are the most hostile to the gay/etc. population, and have normalized the kind of hypersexual rhetoric we see on /pol that is dripping with obsession. So the left is caught in a no-win situation that is engineered against them. Many on the left are gay, or sympathetic to gay people, but they are convinced that to support gay people, they must adhere to a very narrowly prescribed and permitted notion of what that support means, and that narrative - supplied by often the most reactionary ruling class elements - is used to browbeat and dictate the terms of what the discourse is going to be. That's why you're seeing stuff like Breadtube immediately going to "transphobia" as a way to attack anyone who isn't in line with their narrow political agenda, especially those Breadtubers who are giving support to the imperial project. None of it is honest, but the image of "progress" has been impressed on people as something inextricably linked to the empire. If you support gay rights, you support Biden's austerity, and if you oppose Biden's austerity, you're just homophobic or clinging to your guns or any other canned slander against your character, even if your argument has nothing to do with any sexual politics. It's become purely a psychological trigger to utilize, to turn discourse into the utterance of pre-planned narratives and discourage any meaningful conversation about any sensitive topic. Then, the list of "forbidden" topics grows and grows, as it has for the past two decades. The internet has been a great proving ground for these tactics of narrative control (and it should be remembered, much of the population does not participate in any of this internet banter, but gets their discourse second- or third-hand).