Most of our customers spec it one way or the other. Its pretty close to 50/50 as to whether red is running or not running.
Chemical plants and power stations seem to more commonly use red = not running.
Most industrial plants follow the NEMA/NFPA79 standard of red=running.
However, I have also seen a fair number of plants where they have both, sometimes on equipment sitting right next to each other. Once I was in a place where everything on the ground floor was one way, and it was the other way on the other floors.
I have seen many times where the physical equipment running/not running lights are color coded exactly the opposite as on the HMI panels for the same piece of equipment.
I did a painted color graphic panel one time where the end user insisted that motors use red=running, and valves use red=closed.
A job I did for the navy used all white lights for status indication of motors. It had a white light for running, and another white light next to it for not running. They were concerned about color blind people.