“It has no bearing on private actions. “
Actually it does just as much.
If a bunch of leftist organizations tried to get FR’s web hosting service to drop this site, are you going to say “oh well. That’s all and proper. Just a good show all around. Pip pip!”
No! JimRob would sue on free speech grounds!
Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
No, he would sue under commercial and contractual grounds.
And, if that hosting service originally decided not to host him due to the content of FR, they could with impunity.