Earlier quoted context omitted.
I'm saying it's a somewhat nonsensical viewpoint, imagine substituting another governmental protection. Do you support businesses that oppose quartering soldiers in the homes of citizens? "Free speech" applies to the rights granted/enforced/protected by government and businesses are operating on a different level than that.
>Do you support businesses that oppose quartering soldiers in the homes of citizens? Given the option I'd pick them over a alternative.
Either way (pro-quartering/speech or anti-quartering/speech) a business has no impact on those rights. A business can't decide to quarter soldiers in your house. A business can't "restrict" free speech (unless that business is a complete monopoly in that market, a separate issue) as a user can easily find another registrar or start their own registrar to meet their needs.
Put another way, if your local theater won't allow you to show "Triumph of the Will", that's not a restriction on your speech, because you can start your own theater.