It may not which is why I want to do as much research on it as possible first.

I was reading Tom Hand's guide on Allpar and the instructions and it says this pertaining to the SK-TF in the Tom Hand section:

Shift Kit

The "Shift kit" or "SK-TF" is a small version of a "Reprogramming Kit." The SK-TF can be used in fleet service and everyday vehicles. It eliminates the 2-3 shift overlap, firms up the 1-2 and 2-3 shifts (not severely), provides more fluid to the front clutch circuit, and gives a bypass to prevent excessively high fluid pressure during cold weather starts and higher RPM service.

In the instructions for the SK-TF from Transgo it gives directions for enlarging a hole in the separator plate to firm up the 2-3 shift, so that is why I'm wondering if it would help.