From my limited experience, if one heater/cooler is broken, both coolers on that seat will shut off. I recommend swapping left and right lower/upper, one at a time, to confirm which blower is bad. As I noted in your other thread, start with the upper because it is super easy to do. The seats can stay in place and the whole seat-back just pops out.
Upper: 15232557
https://www.gmpartsdirect.com/oem-parts/gm-ventilation-blower-includes-thermal-eelctric-device-temperature-sensor-and-filter-15232557/
ebay option https://www.ebay.com/itm/07-08-09-10-11-Tahoe-Yukon-Escalade-Upper-Seat-Blower-Motor-Cooled-15232557-/143510806730
Lower: 20987427
https://www.gmpartsdirect.com/oem-parts/gm-blower-20987427/
ebay option https://www.ebay.com/itm/07-08-09-10-11-CADILLAC-ESCALADE-TAHOE-YUKON-COOL-SEAT-LOWER-BLOWER-MOTOR-OEM/202670839455
Good luck