Whilst the U.K. has similar commercial requirements. The information is unlikely to be published in the Public domain as its commercially sensitive, only the regulatory authorities would have access.I'm not talking about self-reporting the way it seems that you're thinking about.
For regulated diving activity, like commercial diving or military diving, it's fairly easy to impose a regime where every dive is logged, with depth, bottom time and DCI status. Our commercial diving industry is, as far as I know and can make out from the quote I gave upthread, obliged to keep proper records. That's a consequence of the wild and hazardous practices they had during the early stages of the oil boom here, leading to a number of injuries and fatalities which would be completely unacceptable today.
So, not "self-reporting", but proper logs of every dive. And again, I'd be surprised if the USN doesn't keep logs like that.
The notation that recreational divers keep this information doesn’t stand up, most of those I dive will no longer maintain a log.