Inspired by the comments, I have a possible answer for the confusion between didn't used to and didn't use to. In general American, I used to is pronounced with an /s/, while I use or I used in other constructions is pronounced with a /z/. I didn't use to is also pronounced with an /s/, but I believe this may be the only time that /use/ is pronounced with an /s/ and not a /z/, so it is a very understandable mistake to transcribe I didn't use to as I didn't used to. As far as I can tell, the /justə/ (or /justu/) part of I didn't use to and I used to are pronounced exactly alike. Except for not giving the pronunciations, this is pretty much what NOAD says, as quoted in Jimi Oke's answer.
Peter Shor
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