Yes, I support the right of any private business to engage in ideological censorship if they want to. I don't care if it's Spotify and Rogan or a Christian business censoring atheists or a homophobic cake shop not selling gay wedding cakes. They all ought to have the right to choose how they do business.

If you don't like it, don't sell your rights away, and go somewhere else. That's how free societies work. Private citizen can lobby, workers can protest, customers can boycott, and everyone's free to start their own venture with their own rules, that's how you deal with it.