Interesting point, but I'm not completely sure free speech could be invoked here.
There are some things different in the US, i am not fully knowledgeable about exact differences, but as far as i understood it, it is far reaching, so that even a private platform has no absolute power if they start to discriminate certain content that can be seen as opinion or comedy in a certain context. Hard to tell, some articles indicate it has been interpreted this way, some don´t. It´s too vague for me and it´s often represented in legalese.
I would summarize the situation in Germany that the platform is seen as a publisher and does not need to publish everything a user uploads, there is no right to have everything you send them to be published - as a privately held platform. It is also possible to retract something afterwards. Free speech is considered once someone does actually publish something, additional protection if it is a publicly held space, other possible infringements left aside. Now as publisher you can be made responsible, so if a report on experience or such can be disproven you might run into problems for doing harm to a business or personal rights (e.g. smearing), so this is rather conservative.
So I´ve read about the free speech argument used in a nonexistent context quite a lot in forums, but this is something else of course, there are incomes depending on administrative actions and it seems this is not about a legal requirement per se or about the publishing, as this would not lead to demonetization, but to deletion or unavailability in certain countries. In such cases a platform needs to react in a short time to reports.
Actively using the services of a private company solely, or mainly to bash said company is dubious (and hypocritical!) It's very obvious that it's bound to harm the company's business, and as such, the company could take measures to save its business. Free speech has limits. Now limits include of course saying things that could be unlawful, such again as false claims.
Yes, on the platform this would be a problem for everyone involved in taking decisions, given anyone has his/her bias, but until such content needs to be sorted out externally it is more or less just opinion. Most bashing attempts so far seem to just try to hype the topic, jump the hypetrain and gather views this way, instead of reasonable criticism. I think those do realistic approaches to these problems a disservice.
As an example, and as has been discussed in this thread, we could reasonably consider that claiming Youtube is using the creators as hidden employees IS a false claim.
Given that what is called a hidden employee often comes in the form of freelancing, it is at least dubiously close to that - however the schedule is what the creator makes of it, not all boxes are ticked. They might not need to be.
Would Youtube function without creators? I guess not, as this can mean anything from huge media companies to occasionally sharing videos.
So it might run down to some form of discrimination or one sided termination/withholding of contract agreements?
There is something to these claims.