They don't just want control of social media and messaging companies, they want to end anonymity on the Internet. And you see some of these idiots in the fake-right-left like Brent Weinstine and Jordan Peterson advocating for removing anonymity, believing it will lead to a better situation.
There are useful idiots who are pushing for adult verification for porn sites. What happened to parents being responsible for instilling their values in their children or leading by example. UK style ID verification for all ISP is the first of many steps that will eventually come after fediverse sites like ours.
Imagine not being able to run any minor community, like a car forum or message board, without tying every single user to their government issued identity. That's what the leaders in every country want.
Control of distribution network.
There are 2 ways of controlling. Indirect and direct. Indirect control would be to promote those with the "right values" and let them do the job. Throw money at the artists who follow the flow of zero resistance.
There is a type who always comes for the gravy train.
But if you still loose control or that isn't enough. You can always let go of the illusion and take direct control.