They started out with a gas cooled reactor to begin with right?This is intriguing. A liquid metal reactor is possible, but they have their own set of issues.So the details on the 1954-58 Harwell/Admiralty effort are pretty skimpy. It may have begun as a liquid-metal cooled reactor but clearly had run into design issues by 1957 and perhaps had been changed to a PWR at that time.
Well the alfa weren't liquid metal, they were iquid lead, and there issues were because the were gust a bit to small (seriously if the channels had been gust a little bit bigger the reactor would have had no issues), as for the seawolf, most of its issues were fixed by the time that experiment ended, but rickover never wanted it so used the programs early history to force its closer (even to the point of forcing the ship to be "refitted" (more like rebuilt) with pwr.Considering the only service submarines using liquid metal reactors, were the Soviet Alfa class and no more such reactors built. Suggests they are more trouble than they are worth save for squeezing high performance into a compact hull.
That said as we can see, such was once envisioned for the RN as an alternative to the HTP Walter submarine.
Could we have seen a British Alfa type SSN?
Rickover did a lot of good, but he had decided by 1948! That pwrs were the way to go and never really considered anything else. Why before anyone else had even fully figured out what would be the best reactor design, and when you consider how fallow the leader military procuring can be (especially during the cold war) i would be careful drawing conclusions about this.