Of course research continues, but at present this is the situation:
Kaiju is impractical to modify for 2A3s, primarily because it does not have suitable power transformer windings - both filament and plate supplies are at too high a voltage.
Stereomour II in stock form is only slightly different from the original. They still use 12AT7s, to maintain enough gain for use without a separate preamp. But the quiescent current is increased a bit, and the bias resistor is unbypassed, both of which help. Other than that, it differs from the original mostly in its ability to be upgraded:
* The switched attenuator as used in BeePre and Mainline can replace the volume/balance controls
* The drivers can be upgraded to have shunt-regulated power, as used in Kaiju. ()
* There is a DC filament upgrade, if you have extremely efficient speakers
The ultimate Bottlehead 2A3 is, of course, the new MonAmour, which uses much of the Kaiju technology, including shunt-regulated 5670 drivers and the much larger Kaiju output transformer/plate choke.