Thanks for using JA.
The problem may be a hard fault in the system, The module needs to be rescanned again and the code fault traced. Even if the light is reset the problem and the light will come back until it's fixed.
GM has a service bulletin which may address's your concern share that with the dealer they may have over looked it. see below
08-05-25-005: Intermittent StabiliTrak Indicator Light Blinking, StabiliTrak Active Message Displayed, DTC C0196 Set (Reprogram Electronic Brake Control Module (EBCM)) - (Oct 1, 2008)
This bulletin provides information on two different condition
1.Some customers may comment on a Service StabiliTrak® indicator light along with a Service StabiliTrak® message displayed in the DIC. Upon investigation, the technician may find DTC C0196 set in history.
2.Some customers may comment on a blinking StabiliTrak® indicator light along with a StabiliTrak Active message displayed in the DIC during normal driving conditions. No DTCs will be found with this concern
This condition may be caused by a software anomaly within the electronic brake control module (EBCM) that allowed the yaw offset to be falsely learned.
Don't Do This
Reprogram the EBCM.
Do not replace the yaw sensor or EBCM for this condition.
#07-08-49-006: Intermittent StabiliTrak Service/Indicator Light On, Service StabiliTrak Message Displayed, EBCM DTC C0244 Set (Reprogram Engine Control Module (ECM)) - (May 7, 2007)
Some customers may comment on an intermittent StabiliTrak® light being illuminated or a Service StabiliTrak® message displayed. Upon investigation, the technician may find EBCM DTC C0244 set in history.
This condition may be induced during wide open throttle acceleration from a stop or when accelerating onto an express way during low ambient temperatures.
This condition may be caused by the ECM sending out an invalid torque request signal.
A new calibration has been released to correct this condition. Reprogram the ECM using SPS. This new service calibration is available on TIS2WEB.
Be sure to select the correct calibration part number with the description that states -- to prevent C0244 at low ambient temperatures.