On the other hand, a "renegade" denominational church, say, a conservative Presbyterian church that rebels against the leadership, nevertheless remains "Presbyterian."
I think I attend a denominational Church. The Church is affiliated with EV Free. I also attend a Church that is affiliated somehow (by financial support) with the Mennonite Brethren.
In Utah, many of our Christian Churches are Church plants, and evangelical efforts directed to our Mormon neighbors.
While I might attend a group that has an informal relationship with a larger group, I, myself do not affiliate with any such group. I will and do attend many different non-denominational and denominational religious services. I consider myself only a member of Christ’s body.....no other. Perhaps I am multi-denominationl? :-)