Well, the US naval nuclear reactor program has been way more successful than the civilian one. The US started with naval PWRs before anyone else, and if you look at it, they are building more naval reactors than anyone else right now.
I would have to say that in terms of civilian nuclear reactor industry, at this point in time, Russia is probably first, and China is second. China has absorbed pretty much all civilian nuclear reactor technology available and in service, both from the West and Russia, and China can reliably produce any of the reactor types used for power generation, unlike the Western civilian nuclear reactor industry which degraded after close to four decades of neglect.
So I would think that modern Chinese naval reactors are likely as close to leading edge as possible. Just look at the 125 MW Linlong One:
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It is compact with integral design. And designed for serial production.