The reactor scram didn’t doom it. That happened late in the casualty.
There was no “Fast Scram Recovery” procedure at that time. That was one of the lessons learned from the disaster. Also, we got the “Sub Safe” program.
It will be interesting to learn many things, for a fact- if they are allowed to be released.
Bob Ballard’s discovery of the Titanic location was after a still classified mission, under the work cover of the Woods Hole Center “oceanography” cruise, had to do with checking on reactor vessel status (it is said, but was much more), corrosion/leakage and such- from both Thresher and Scorpion.
Doubt that those records (far more recent) will be released.
I've read numerous accounts of this accident, including a acoustic analysis. There were voltage irregularities in the main bus, which led to the reactor scram. The crew tried to re-start the reactor twice, to no avail. At that point, they tried the emergency blow, all the while sinking past her test depth.
Had the reactor not scammed, there would've been no need to surface, so I think it's fair to say that the reactor scram contributed to the accident.