I have had one T/R inop many times on the 737 and had no problems using reverse on the one side.
I did see the skid marks on Rwy 8 at PHX. They started from the centerline and turned to the right towards a high-speed. He missed all the lights and plow through the dirt next to the runway. You could see a white outline of the aircraft where they stopped. Kind of like a police crime scene.