I think you have the FB issue upside down. Do you think the EU is interested in 'free speech'? No, the EU want to make sure that they able to suppress language they don't like. In some cases, it's probably for the common good, but in many others ... not so much.
The EU, US and other actors definitely want FB et. al. to suppress information which they deem as 'factually innacurate' (things that can sway elections, scare people away from vaccines etc.) in addition to a few other points of interest, for example, things they deem 'hate speech' etc..
Edit:
Personally - I'm not sure how I feel about any of it really, but it's definitely not the case that either the EU is primarily to ensure 'free speech'.
Austria high court ruling for a form of censorship:
"that Facebook remove a post insulting a former Green Party leader, keep equivalent posts off its site, and do so on a global scale." [1]
And at then at the EU level: "Facebook Risks EU Court Order to Censor Hateful Posts Globally" [2]
This is the general theme of EU judicial and legislative activity.
I don't see anything really that much in the other direction.
[1] https://slate.com/technology/2020/11/austria-facebook-eva-gl...
[2] https://www.bloomberg.com/news/articles/2019-10-02/facebook-...