The unusual head design that Batman discusses is called a "PolyQuad". It is a patented design by David Vizard and another fellow. You can view a very interesting and informative article on the PolyQuad at
www.motortecmagazine.net. Mr. Vizard is a wizard, and his books contain tons of pertinent info for the average hotrod enthusiast. He states that 4-valve heads induce tumble, and 2-valve heads induce swirl. The article gives a really good explanation of this, and also contains some excellent illustrations of exactly how his PolyQuad design sets up the swirl and tumble combination. You called it Batz.
I guess it's conceivable that Suzuki incorporated some other feature in the ports or combustion chamber that induces swirl. If they did, I can't see it.
Seems to me that it would be fairly easy to incorporate a portion of the PolyQuad design into the Savage head. Install one larger intake valve ( I have found some that will probably work), and unshroud the two intakes in that manner shown on Vizzard's illustrations. The larger exhaust valve seems difficult at this point. Short of having Manley, Kibblewhite, or Ferria (sic) manufacture a custom valve, I haven't been able to find any exhaust valves comparable to the LS650 valves (they are much shorter than the intakes).
This "Singh Grove" design is a mystery. Do you really mean to say "Groove"? I've viewed some videos of this guy Singh grinding away in throttle bodies. Is that the same guy? Does he now have some sort of mod that he does in the quench area on the cylinder head? Would it be possible to place the groove in the piston instead. Pistons are a lot cheaper. If you don't like the results you can put in a new piston.