Also, the MRX maritime reactor design shouldn't be that hard to revive as a starting point?
That's a 25-year old design. They can't revive that, build and test a prototype, and hope to hit that 2028 target date for the ship. How many of the people involved are even working in nuclear power anymore?
I don't think nuclear reactors are an issue for Japan since MHI is one of the world leaders in small scale reactors. MHI already modified the RV Mirai to be nuclear propulsion.
Japan's history with maritime reactors isn't robust.
Mutsu (aka RV Mirai) was launched in the late 1960s, had a radiation event in 1974, within days of going critical, and spend another 17 years being cleaned up, modified, and overhauled. Then she spent a grand total of approximately 1year at sea before being decommissioned, having her reactor torn out, and being rebuilt as a conventional research vessel. This does not equate to a sufficient base of experience to field nuclear power in an operational warship within the next 5-6 years. Not in a country with as much anxiety about nuclear power as Japan has, especially after Fukushima.