The program led to the Three Mile Island accident, which is one of the largest releases of radioactivity in US history.

Naval reactors are inherently safer due to their small size and unlimited supply of cooling water. A meltdown is virtually impossible, worst-case scenario you could always use a firehose and a diesel pump to inject sea water into the reactor. On the other hand: you really don't want to overfill the reactor: a naval reactor "going solid" rips itself apart, killing the ship.

Commercial reactors are the exact opposite. Overfilling them is not a huge deal as there are plenty of ways to relieve pressure, but underfilling them can easily lead to a meltdown. Even after shutdown it needs active cooling for a decent while to prevent residual decay from overheating it.

The TMI reactor operators were trained on naval reactors, but they were operating a commercial reactor. During the incident they were too busy trying to prevent it from overfilling to notice that it was actually cooking itself dry - so they intentionally shut down the emergency cooling system!

So no, saying that the Navy Nuclear Propulsion Program has led to zero accidents is both wrong, and completely irrelevant to the subject here.