They wern't really a thing until after 1983 when Reagan imposed a tarrif on bikes over 700cc to help save Harley.
en.wikipedia.org
I don't think the 1983 motorcycle tariffs had anything to do with the history of 600cc supersport racing.
FIM already had pre-defined class limits of 125cc, 250cc, 350cc and 500cc. These classes have been defined since 1949. A long time before Reagan's tariffs. Manufacturers used that top class as a basis for their performance machines but the displacement slowly creeped up year by year by going from 500->550->600.
In the late 70s/early 80s, Japanese manufacturers were already providing club racers with platforms like the Z500->GPz550, GS500->GS550 and the XJ550. These bikes were nowhere on the radar of the 1983 Motorcycle Tariff, as they were well below the 700cc limit and did not directly compete with Harley's heavy cruiser, non-performance line-up which the tariffs sought to protect.
The mid-to-late 80s saw the manufacturers readying for another displacement bump from 550->600cc. Kawi had come out with the GPz600R, Honda had the CBR600F.
It was the popularity of AMA's 600 Supersport series in 1987 that halted progression of the middleweight displacement arms race and standardized on the 600cc platform as a separate, distinct entity. By 1987, the Reagan's motorcycle tariff had already abated. FIM then followed AMA's lead in 1990 when they created the Supersport class as a support race for WSBK, further solidifying 600cc as the new international ceiling for that class.
Cycleworld has a great article as to how 600cc sportbikes came to be:
Technical Editor Kevin Cameron shares his wealth of motorcycle knowledge, experiences, insights, history, and much more.
www.cycleworld.com
Nothing to do with tariffs, which had been lifted long before the popularity of the 600cc supersport class in the 90s and 2000s.
To your point, specific "tariff-busters" were Harley's direct competitors, bikes like the Honda VT700 Shadow and Magna, Yamaha XJ700 Maxim and the Suzuki GV700GL Madura shrinking their displacements from 750cc to come under the tariff limit at 699cc. Mostly cruisers, some sport-tourers.
But none of these were supersports which had a long history of gradually
increasing displacement up to the 600cc limit, not cutting it to sneak in under a short-lived tariff.