These types of nuts are in a group of lock nuts called "prevailing torque nuts" (also called Autolock nuts, Unitorque nuts, Crownlock nuts, and automation lock nuts). Short answer: no. If the torque specification for a hex nut is 10 ft-lb, the Stover nut will not need additional torque to fully deform the threads (same for a Nylock nut). The additional resistance they have as you tighten or loosen it, called prevailing torque, due to the deformed top threads (or Nylon insert for the Nylock nut) is so small, that you'll be looking at a difference of a few in-lb, or fraction of an in-lb.
I'm a technical writer so I deal with this stuff all day, but didn't actually know the answer. So I ran upstairs and bounced it off a few system and product engineers ($100M+ in sales company).