The church in Smyrna had apparently been infiltrated by some that were claiming to be Jews and were persecuting Christians. There is not much information about it. It apparently had a rich membership.The point is not me calling anything what I want...but you calling a would-be Christian denomination an entirely different religion. Get your words straight! It's causing you to make errors and false statements.
As for the church at Smyrna, it was I who pointed it out to you. But to be clear, it was not the church at Smyrna that Jesus referred to as a synagogue of Satan, but rather those who were persecuting them.
I don't consider the Catholic church to be a Christian denomination. Many Catholics do not want to be called Christian. The want to be called Catholics.