Is there any way to get a list of which parts have been banned for each word?
The banned items list (http://beta.skritter.com/vocab/banned) only shows the word & the date. For many items I only ban reading & pinyin, especially for radicals that I don't see "in the wild" and thus won't need to read.

As a related question, would most people recommend skipping these pronunciations? (just for radicals like the different strokes)

I would skip active learning of pronunciations of items not seen in the wild (inactive learning being, if pronunciation is same as derived characters know, will end up remembering anyway). I've heard the argument that learning radical pronunciations means can verbally describe a character in case of ambiguity, but I suspect only a Chinese language teacher would know the pronunciations of (not seen in the wild) radicals anyway.

You can click on a word to see which parts are banned from within the word popup. But yeah, you have to do it one-by-one like that.

I would recommend banning radical pronunciations, sure. ricksh has it: a lot of them have other names and no one really cares what the official pronunciation is.