Well G-A-R, I only have a few lengths of cord cut off an actual MC-1B and it has 4 inners, 3 white and 1 green and red spiraled.
A few decades ago I used to be able to buy the same mil-spec type II from John Howard and Company. They sell all sorts of mil-spec webbing and cord but I believe only sell in bulk to as a wholesaler now.

I have a spool, 300ft somewhere of the type II from Paragear, if I can dig it up, I will check the inners. Misplaced it somehow.
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No, I am not Bear Grylls, but I stayed at a Holiday Inn Express last night and Bear was there too!