Simply based on the geometry of the board it will turn tighter when all other variables are the same. Problem is you probably won’t perceive a significant change because the sidecut radius change is nearly insignificant. If you want to bend your boards tighter using the same edge angle/technique, etc. go to a dive shop and buy a weight belt. Strapping 50lbs of lead around your waist will significantly bend the board more, all other things being equal.
Flexed Board =f(board, rider, board/rider interaction with surface)
Side cut difference is insignificant and nothing else changed
Rider technique is same
Surface is same
So without changing technique you are limited to changing the rider input variables your mass.