The BRAKE light is if there is an issue with the EBCM, and yes it will light all the time either way since it's no longer there. On the DIC (Driver Information Center) it will always say CHECK BRAKE FLUID LEVEL or something like that without that connector. If it were me, I would put it back since it's easy to do and it bugs the hell out of me.I had a thought. Might need to have someone confirm on whether or not the driver info display will show that you have low fluid. I know it shows for low coolant. If it does, then I'd solder it back on. Won't affect the light though.