I did some fiddling about with a recoil energy calculator...
ShootersCalculator.com | Recoil Calculator
The difference in recoil energy between .40S&W and .357SIG is negligible. Shooting a heavy bullet like a 180gr 40 cal @ 1100fps vs. a 125gr .3566 bullet at 1475...the recoils forces are about the same within a ft.lb. In plugging in a few different combinations, the resulting forces did not change in any meaningful way. I see no need the change springs from other than the factory S&W parts.
Cheers
Bill