Did Chrysostom Say the Synagogue Was a "Dwelling of Demons"?
Source: Homily 1 · 386–387 CE
What the ancient record says
Yes, he concludes that when Alahym abandons a place, that place becomes associated with demons, and applies it directly to the synagogue; the traditional translation: "dwelling of demons." Not merely a figure of speech about one building, the rhetoric is broader, treating the synagogue as an institution and extending condemnation to the people and their worship; reducing it to "he disliked one bad building" misrepresents the homily. Rhetorical genre matters, he was trained in ancient rhetoric and these sermons use harsh polemical techniques (context explains the form) but does not erase the words: context explains rhetoric, it does not make it disappear.
Two errors to avoid: (1) pretend the language was mild (it was not); (2) assume every insult was a government instruction to physically attack Yahudim, examine the sermon for what action he actually tells his audience to take.
Read it for yourself. Chrysostom, Homily 1, Section III (Tertullian Project).
Evidence strength: Direct primary-text.