"Being compelled by the state to do something you don't want to do (e.g. provide a service to someone) is what they are objecting to"

That's not what happened though. They sold admission to a person and then rejected it because that person works for a firm that has an open case against another company that they're conglomerated with.

It smells like retaliation to me, but I guess it will come down to what the courts decide.