If the regear reuses the factory locker, then thick cut is required.
If the new carrier reuses the existing thick cut gears, then the smaller carrier is required.
If both the gears and carrier are new, then standard cut gears with the appropriate carrier can be used.
My thick cut rear gears will be a legacy of the Rubicon locker. Someday when I replace the front with an ARB, I hope it will be along with a full 5.13 regear, in which case the front will get the rd116 with standard gears and the rear would get thick cut gears. Confusing?
Clear as unchanged tcase oil