Has anyone had any success finding out how to do a software upgrade for Innr GU10 Spot bulbs (https://shop.innrlighting.com/en/shop/85/gu10-spot) that are integrated with a Hue Bridge and not a Innr bridge?
You can’t. Hue only supports firmware OTA upgrades of their own products. With DeCONZ, ZHA or Zigbee2MQTT you can do OTA upgrades but not supported for all brands. At the moment only IKEA and OSRAM I believe.