Something don’t add up? If you done nothing to the starter other than remove it and put it back on and then had a problem… The backed it up with another starter doing the same thing, Makes me think something else went wrong. Not sure what else that could be? I assume the engine turns ok with a socket on the crank?
I was thinking about you yesterday. I cut the 4 speed hump out of my 63 parts car and there is no doubt that it was sheered and not torched. So we know of three 63’s sheered and two 62’s that were torched. I wonder if this was a running change in 62 or a difference of model year? Till we see an anomaly from this I would assume it was a year change. I also found that there is a running change for one of the rear suspension brackets in 62.
Gook luck on the starter, Not sure what to do there.