Before the other side took hold of a major platform and started doing it to their ends, "freedom of speech is not freedom of reach", "you don't have the right to a megaphone" etc. were maxims that were regularly fielded by pundits in defense of shadowbanning and any thumbprints being discovered on the algorithmic scale (though they were never so confident in it as to make the manipulation explicit upfront before it was revealed).
The "my free speech is being taken away; they are just being moderated for the common good" conjugation is something that is in fact shared between both camps. The only stable solution going forward may in fact be the pillarisation (https://en.wikipedia.org/wiki/Pillarisation) that we are already seeing emerge, which will leave both sides in a state of perpetual discontent about having no means to force their message upon unwilling recipients on the other but at least let the like-minded interact with each other consensually.