If I have religious reasons for not being artistically interested in that commission, then it is not a lie to say I am not artistically interested.
No different than saying I’m not interested in going to a party. It might be because I can’t stand the host, but being up front about that does not somehow make me interested.
We can sit here and parse words all day long. The fact is that the owners of the video business gave their reasons for not wanting to cater to homosexuals, and it wasn't artistic differences. It was their faith. But if you want to support a law that says that companies can post notices that clearly state that they won't provide services to gays or Muslims or Blacks or any other protected class based on "artistic differences" then fine. My point is the same - companies should have the right to deny services to anyone so long as they make that clear to begin with be it for "artistic differences" or religious beliefs or any other reason they may have.