Dr. Hall:
I’m sorry I’m not convincing. I’ll try again, though.
Praying denotes ascribing omnipotence to the One to Whom we pray. Asking the Malachim to do that which they are supposed to do does not ascribe that attribute of G-d to the angels, which would, of course, be forbidden, though it does recognize the role that Hashem did give them.
For those whose mesorah is to say that piece, this seems like a very reasonable distinction. At the same time, I can certainly understand those whose mesorah is to not say that piece.
(Not that my opinion matters if there is a real mesorah both ways. Perhaps there are other reasons, too?)
Actually, Yeshivos and many shuls do not say Anim Zemiros. But what makes it mean that G-d is, CH”V, corporeal? As HaLeivi pointed out, there is plenty to find throughout Tanach, not just in Shir HaShirim, where one must read it allegorically.
Do you really believe, for example, “Ki biYad chazakah hotziacha Hashem miMitzrayim”, that G-d used his literal strong hand? Come on.