No real "hidden" codes but there there are things that can fail that will not trip a code.
I use Auto Enginuity PC software with the enhanced packages, it will let you look at transmission and other functions that are not available in generic OBDII.
There are issues that will not trip the CEL like a leaky piston seal or boost valve issues that you can see are causing trouble if you know what to look for.
Unfortunately getting at the valve body on these units is a real job.
The shift kit does not address the problem you are having, it addresses long shift time issues that can trigger the CEL and cause excessive wear on the clutches.
It is a reliable "cure" for that issue and good preventive maintenance for these units but it wont cure leaking internal piston seals, etc.
Would i invest in the scan tool to diagnose this? Probably not. Even if you find out the cause unless you can disassemble the unit and repair it there isn't much return on the investment.
I would spend the $100 or so to have a trusted GM dealer (yes there are some) look at it with their GM scan tool and go from there.
You could add a couple of 12oz bottles of Lubeguard red to the unit (you may have to pump a little out so as not to overfill) and hope the esters can help with the seals.
This is nothing more than a hail Mary pass and may bring nothing at all but its worth a shot. It certainly wont do any harm and its cheap.
Please make 100% sure there is no engine issue, even if it runs great there could be something causing it bog slightly under a load from idle that otherwise goes unnoticed.
You need to address this quickly while there may still be some hope of a minor repair.