We all acknowledge that it's a violation of the first amendment if the government simply makes it hard to access speech even if it's still technically available. The government can't order Google to stop indexing your website even if they allow your website to remain online.
Plenty of people here have argued for the gravely mistaken position that free speech protections should only apply to the government, but I've never heard anyone argue that private individuals and organizations are morally bound to protect free speech in certain circumstances but this only applies if they are completely wiping out the speech rather than just making it difficult to access. I don't understand why that would be the case.
The key word in your argument is 'morally'. What's moral is fluid and varies from person to person. I think it's perfectly legitimate to suppress free speech locally when you protect it globally - for example, in the case of hate speech that demands free speech of certain groups to be globally suppressed.
Plenty of people here have argued for the gravely mistaken position that free speech protections should only apply to the government, but I've never heard anyone argue that private individuals and organizations are morally bound to protect free speech in certain circumstances but this only applies if they are completely wiping out the speech rather than just making it difficult to access. I don't understand why that would be the case.