Interesting. I'm also one of those for whom the regular JB isn't a thing - bit too hot and the quality of the mid is idiosyncratic. I have 'aired' other hot pups over the years and aside from lowering their output a bit, it also reins in the mid, so might be worth attempting.
But, it must be remembered that the JB had its debut in the later 70s, when amps had less gain and most were still non-mv. I should think plugging a JB loaded guitar into a non-mv Marshall would certainly balance out the qualities of such an amp (same principles behind the DiM Super D). We've got so many amps and pedals with infinite gain these days, and a JB, which remains more or less the same, won't necessarily be to everyone's taste in such a scenario.