BSA were apparently offered the featherbed frame when it was first developed by the McAndless brothers and for some reason they said no. Probably Lady Docker didn't like the shape. Whether they also said "Try Norton and see if they're interested" is not recorded AFAIK. BSA management realized their blunder, and they soon came up with what was a pretty decent frame. The early Rickman motocross bikes had BSA frames fitted with Norton long roadholder forks.
Back at the RE Interceptor/BSA A10 bitsa, the new 650 engine ought to fit in that frame very nicely if the engine mounting lugs aren't too wide. While it's not immediately relevant I have seen a BSA rolling chassis fitted with a 700 Super Meteor twin engine and Albion gearbox, it certainly LOOKED good, assuming they'd got it all lined up properly.
With any BSA framed hybrid I think I'd want to keep the cycle parts and running gear as BSA as possible, think (e.g.) Catalina Gold Star gas tank. Not sure how or where the fuel injector pump is fitted on the new twins, whether you could remotely mount the RE item or use some generic free-standing pump. If you buy a repro BSA fuel tank from India no-one would be too worried it you modified the base to take the FI pump.
A.