If that resistor was replaced with a Dorman product, I would be worried about that part, even if it is not the problem. If you tear it down, see if you can get a part number on it to compare. Depending on where you are at, I just changed my control head on my 05 Z71. The fan speed rocker was all rubbed out and did not look good to my OCD self. It works flawlessly but I wanted a more pristine look. You can get those control heads on ebay, where I got mine.
This is the one I ended up with: https://www.ebay.com/itm/232978347715
This is the one I ended up with: https://www.ebay.com/itm/232978347715