Update - I wish it were more definitive.
The 5/8"-20 UN die I have threads onto other crankshafts without needing tools. Cannot get it started on the MK3 crankshaft I'm working on.
The 5/8"-20 UN Tap I have easily cleaned up threads in several used rotor nuts I have, most using no tools, just bare hands.
I cannot find a 5/8"-20 Whit Form die.
I spent a lot of time with a thread file and a triangular needle file and I have the threads well enough in my used nuts. The damage was only at the first 2 threads. I'm going to order a new nut and see if there is any difference.
I thought about using the 5/8"-20 BSC die British Fasteners has but it is also 60 degree so I'm not sure it make sense to spend $115+shipping.
So, I believe that the threads are Whit Form (55 degree) but there is no problem using UN.