Wolf:
You probably know more about the catholic/protestant divide than I do, so I defer. Besides, I am not well versed in Nittel (I learn on the night of the 24th), and was just giving a possible answer for the minhag and Svorah of the Chasam Sofer.
Night still may equal more Tumah, which is why when it is night there is more reason not to allow those “Kochos” to adopt the spiritual power of Torah.
No I do not understand the concept, which is well beyond me.