Armenian antisemitism was historically not widespread or not particularly virulent. There was more antisemitism in the diaspora (also amongst Greeks) than amongst Armenians in Armenia. This is because Armenians and Greeks, like Jews, were historically traders/merchants in places like Russia or the Ottoman Empire, so there was direct economic competition with the Jewish community.
The modern Armenian antisemitism (which is quite strong in the diaspora, perhaps not so much in Armenia itself) is rooted in a sense that Israel and American Jews have been working with Turks against Armenian interests. Most notably, the attempt of some in the Jewish community and Israel to suppress the US passage of a resolution on the Armenian genocide.
The Armenian genocide, like the Holocaust, did happen. It involved fewer victims and a smaller territory, but the Armenians of the Ottoman Empire were utterly destroyed and had to flee into the diaspora or Russian territory. As a result, Armenians feel that Israel/Jews who support Turkey and deny the Armenian genocide are "backstabbers", because both nations were victims of genocide and should have some sort of solidarity because of that.
My thinking is that this will change over time, as it appears that Israel and Turkey have had a breakdown in relations. If Israel and relevant parties in the American Jewish community change their orientation and support Armenian genocide resolutions and recognition, then I think Armenian diaspora antisemitism will pretty much disappear.