I don't know, but unless you can find a credible source that says those service numbers can interchange contrary to what GM says, I'd assume it's not compatible with the repository file you flashed.
You can get PCMs pre-flashed with a stock GM calibration for the VIN of your choice, using proper flashing tools (i.e. not a tuning tool like HPTuners), from places like ebay. Sample: https://www.ebay.com/sch/i.html?_nkw...rammed&_sop=10