The AMA long ago stepped away from the majority of Racing. AMA Pro, with Road Racing, Motocross, (DCs mob only run it, under contract to AMA Pro /DMG) Flat Track and ATV MX and Hillclimb, are owned by Daytona Motor Group - The France family's company.
The AMA still 'owns' SX, but Feld have control over it - effective ownership till the contract expires, I think around 2020?
That they've stuffed American Road Racing is not new.
The 636 has to carry 20lbs over a 600.
So, 375lbs as against 355lbs. A 675 Triumph Triple, has to carry just 5lbs over a 600cc 4. The Ducati 848 /Corsa 848, has the same weight limit as the 636 Kawi. And there are other, bigger capacity bikes with specific weights in the same class.
So, they haven't bowed to Kawi - Kawi have no intentions of running an official Team in Daytona Supersports, at the moment.
That they so Pissed Off Honda, with their meddling in Road Racing, has made Honda incredibly determined to stand up against them with regards to the MX capacity rules. Feld having control over SX - the 'jewel in the crown' of MC Sports, adds to Hondas intransigence / power.
That's Honda's True Power - their influence with Feld, and their determination to not let DMG do them out of their favoured 'rules'. They got gazumped in Road Racing - they'll not let that happen again in SX, and MX.