I have something to add: 2005 Yukon SLT, here.
I had the same issue with Cruise Control (CC) not working, and even replaced the Brake light switch, which didn't work. But it was this
post that made me think of my brake lights.
I had replaced my brake lights with LED lights and didn't use resistors.
They seemed to work fine, so I went about living my life.
I first noticed my CC was not working during a long drive.
I finally got tired of watching my speed by paying attention while driving, and decided to fix it.
Google search led me here and I have read this whole thread (learned a lot, thanks people), but I had a different problem causing the same symptoms.
Today, I replaced my lights with regular lights and CC works again. Praise Be!
It has been frustrating chasing white rabbits down various holes, but found the solution through this community.
I wanted to say thanks to all who participate and share my own journey.