The EFF has really lost their way. They should not be defending Big Tech censoring the Internet.
Big Tech is literally publishing the Internet: it can be seen on Instagram, Twitter, Youtube, Twitch, TikTok, etc. (I don't include Google Search and other search providers because they're not generally considered "social media".) The law would allow Texans to sue big tech specifically for not publishing their individual stuff, which could easily be argued as an infringement, by law, of their own speech rights.
If you intend to be arguing that Big Tech has too much of a hand in what gets published, I at least would be one to agree. It should still be the case, however, that they are able to choose what they publish.