Moderate Christian commentators casually called mosques synagogues of Satan

Evidence

Christians would always feel a pleasure if not a duty in the desecration of mosques: ‘synagogues of Satan’, as one not especially immoderate commentator called them. The mere presence of one, ?dolum abominationis, desecrated the holy mountain, Sinai. — Norman Daniel, Islam and the West, 635

Categorization

• XREF: ‘Synagogues of Satan’ collapsing mosque and synagogue into one idolatrous Other is a concrete medieval antecedent of the vault’s claim that ‘Islam’ is genealogically grafted onto the Jew as the West’s constitutive outside. — connects to: A prominent Southern Baptist leader called the rioters’ Christianity satanic — Andrew L. Whitehead, American Idolatry, 130
• QUESTION: Does the ‘synagogues of Satan’ phrase (Revelation language) show Christians reading mosques through a pre-existing anti-Jewish template rather than inventing a fresh category?