If we separate the attempt to identify an organization from the description of the nature of the great and abominable church, these verses do not point to a hierarchy in love with finery (though there have been many such throughout history) but to a general tenet of the church of the devil, that is, that the love of the fine things constitute "the desires of this great and abominable church" (verse 8). When we are pulled into a similar love of the finery and trappings of the world, we are similarly under the sway of the powerful pull of the church of the devil.
These verses come not as identifiers, but as warnings.