One more intelligent than any you could ever provide.
The actual LIBERAL positions on these matters would be this:
In the case of a baker, if it were a matter of them refusing to sell a product already for sale, then the public accommodation laws would apply to prevent discrimination. In the case of being required to CREATE a cake complete with language, the baker should be able to refuse for this amounts to FORCED speech rather than public accommodation
In the case of near monopolies systematically denying certain points of view, this would be akin to a baker refusing to serve certain individuals based upon their traits. It WOULDN'T be like protecting the baker against forced speech because far from forcing anybody to say something, the near monopolies are PREVENTING speech.
You are overly simplistic in reducing this to a matter of "businesses can do anything they want". They can't. There are certain responsibilities involved in running a business, and the issue here is whether or not these authoritarians should be able to indulge in such heavy handed censorship while also being exempt from antitrust laws.
