If there are valid regulations to follow then sure but that's not what the parent comment seems to be suggesting.
There's no "free-market capitalist society". Just a really-existing capitalist society (like "really-existing socialism" which touted one set of values, but practiced another), that sells to people the lie that markets are (and can be) free, when they aren't in most ways that matters.
None of that has to do with Google being "forced to close" its Maps just because you don't like ads.
Except if you think e.g. forbidding them from using child labor or from not hiring women/blacks etc. are authoritarian too, then you already agree that a society can impose some laws (onto companies), and them to not be authoritarian.
If you agree to the above, then now the main difference is that you think the above examples are "fair" and "ok", whereas the other proposal is not. But that's a matter of opinion, not some objective truth.
The only power they (we) have to enforce such policies is to stick a gun in someone's back. It's true that some matters call for the initiation of violence to maintain a greater societal good. You've cited some worthwhile examples but this isn't one of them.
If you agree to the above, then now the main difference is that you think the above examples are "fair" and "ok", whereas the other proposal is not. But that's a matter of opinion, not some objective truth.
Our Constitution lies somewhere in the middle between opinion and objective truth. It carries more weight than the former (those guns again) and less than the latter. It arguably doesn't provide the legal tools needed to force Internet search engines and map providers to work on a nonprofit basis.
There are other countries whose founding documents don't include similar constraints. Fortunately, nobody will shoot you for trying to leave this one.
I don't believe "authoritarian" applies to companies. If anything corporatism is authoritarian.