Depends on the tire, but in generic, the wider the tire is, the more you must lean over for the same corner speed. Just physics.
And ground clearance is a problem with the stock Hyper.
Just buy decent track tires, like Bridgestones BT003 or Pirelli Dragon Supercorsa Pro.
Difference between sport street and race tires:
Stock Pirelli Diablo Corse III after one day Assen - NL:

Was my first track day on the Hyper, so not so fast at all.
Racing Supercorsa after 3 trackdays in Alès - France:

For the record, did 1:34 laps between supersports/-bikes