The conclusion was that parental advisory stickers are cool and will help sell your album, and I'm glad we got there as a society.
Incidentally, Wal-mart in particular was on the conservative side of that culture war episode, and they did in fact refuse to sell those albums while also selling entire racks of guns.
Indeed they did. And the US government did not compel them to sell the albums, nor should they have. The albums found their audience in spite of some channels deciding it wasn't a kind of speech they would tolerate on their premises.
Similarly, some of the speakers who have been no-platformed will find their audience without a university's help; that doesn't imply the universities should be compelled to help them. And some toxic moderators and editors will continue to be toxic on some other site; that doesn't imply that site must be Wikipedia.
But I was mostly just nitpicking improper usage of the paradox of tolerance. Righteous censorship of 'bad' ideas might feel good but it's probably not a great instinct to have in the long term -- this cultural moment will pass, the meta-ideas about when it's ok to censor are longer-lasting.
Wal-Mart carries plenty of stuff, though. If you're going to move towards that kind of regulation for free information services, there has to be some other basis for it.
There are plenty of other places to go if Wal-Mart doesn't sell a CD. Not so much in Twitter or Wikipedia's case. Some alt-right 'competitor' with 30 users isn't really a substitute.
Your phone carrier is a service provider that is constrained by the FCC. Twitter is one of many broadcast sites one could go via a phone carrier. But the US, to my knowledge, has never recognized anything approximating a right to broadcast. Not even freedom of the press implies freedom to spew signal over the airwaves, for instance (because the radio spectrum is finite and shared).
Freedom of the press has never implied freedom to use someone else's press, and telecommunications hardware providers aren't in the same category. If your phone carrier cuts you off, nobody on the Internet can read your signal; if Twitter cuts you off, they've merely taken their megaphone out of your hands.
We don't have jurisprudence saying so for websites, because this is new, but it could be argued that a number of websites have reached a sort of monopoly status. Facebook is probably closest, but Twitter and Wikipedia both occupy unique places in society to the point where it's not, just, "go start your own website".
As far as business freedom, remember the gay wedding cake guy? Where were all these "you're not entitled to Twitter's megaphone" people then? On the exact opposite side of the principle, mostly.
I think people having different attitudes regarding the three categories of service is reasonable.