Ok, I'm having trouble parsing what you wrote. I also looked at your link to see how it relates.
Tell me if I interpreted your hypothetical scenario correctly:
Suppose we have website called OrganicMothers.com that focuses on things like mothers breastfeeding their infants, growing veggies in the back yard and using a blender to pulverize it into homemade baby food. That website has heavy censoring against posts about artificial foods, or alternative viewpoints about synthetic breast milk, or messages with a disrespectful tone.
Another website is AnythingGoesMothering.com allows any writings including chemical additives and all profanity and insults are uncensored.
You're saying that a future societal norm could be where a mother who avoided AnythingGoesMothering.com because it had too many messages saying "any mother who doesn't feed her baby Monsanto's patented baby milk instead of breastmilk is a stupid c-nt!" ... will be denied a job and/or shunned from dinner parties?
Remember that "free speech" includes everything from the cess pool. Basically all text is allowed short of doxxing people's social security numbers.
I just don't see your hypothetical becoming the norm.
Indeed these sort of communities actually require "heavy censorship" to remain functional and on topic otherwise it enviably would be overrun with trolls or people "looking to debate." It actually cannot be prevented without moderation. Without moderation the internet is not functional for the majority of users.
Anyways, any form of moderation at all, even removing spam and off topic posts is "censorship." Commercial speech is also speech so removing spam is "restricting freedom of speech." (not that I think "freedom of speech" is applicable to private websites, because that's silly)
Yes I do, but only because you cherry-picked an example that seems to be an obvious benefit.
I want to emphasize again that true free speech includes everything you don't like and all stupid opinions so you can't isolate good examples and ignore bad ones.
(This is, in my experience, a general principle of site-based censorship. For example, if I had a dollar for every regular of every feminist community who was sure the site moderators were protecting them from the oppressor, when actually they were protecting the site owners from criticism and dissent by women more oppressed than them who they were rather spectacularly failing to represent...)