I can see the point about the Bearhawk Patrol, or the Bearhawk LSA for that matter. And in fact, I looked seriously at building one when it became apparent I wouldn't be able to renew my medical (and before I decided to build on and hope for the best).
I decided against the BH LSA for several reasons, some of which could easily be addressed by "Van's-ifying" the kit, some not. One was that their "quick build" kit still leaves you on your own for all the hardware, commonly available parts, etc. You really have no idea what you're going to be spending by the time you're done building, but it's going to approach or exceed the cost of an RV-12. If Van's offered that or something similar I'd expect to see a factory-welded frame and ALL parts and hardware included. I suspect, though, you'd end up with a pretty spendy airplane by the time you're done. Besides... that whole airplane is such a complete and radical departure from anything Van's has ever done, I wonder if it would be a good fit for them as a company.
It's hard to think of a reasonable area where Van's doesn't have an offering. Something like a "stretch" RV-9 -- four seats, 180HP, something in between the RV-7/9 and the RV-10, kind of a Cherokee/172 replacement -- would sell like hot cakes, but would probably cut into RV-9 and -10 sales substantially. So if I were in their shoes, I don't know that I would even go there.