I guess the LABEL may fit, but the FUNCTION wouldn't.
Their organizations are WAY too big for them to 'pastor' and those duties are left to the underlings.
(The 'star' of the show may descend from time to time to attend more, ahem, important parishoners...)
There is a branch of a Chicago based megachurch here in town that has grown in less than 10 years to purchasing a department store and converting into a coffee bar, pizza bakery, meeting hall, and sometimes a church. The pastor is elevated on a very nice dance hall stage, with a state of the art microphone, Powerpoint presentations, singing, dancing, and a rock star approach. He is spoken of in awe, as a celebrity. So is his wife. The lesser pastors are lower on the rung and do not garner as much awe.
A large number of my friends and acquaintances hop from church to church following or going to certain pastors, regardless of denomination. As the pastor rises and falls, so does the congregation. The Catholic Church is set up with the priestly vestments (ad orientam of course) so as to make the priest less of a star and more of an instrument of Almighty God. Father Phleger in Chicago violates this completely, never mind what other sins he is committing. A priest says Mass. Not a star holds a concert.