No the seat heater should not turn off, so that could be a sign of trouble, maybe a short in the pad starting to get rubbed in from the hog rings in the seat. A drop in voltage could cause them to use extra current and shut down so if your battery was low or charging system not up to the task it could cause that. If it keeps happening maybe turn off the lights and/or turn down the heater fan to see if that helps. Then start a thread
What does "cooling system set up for summers" mean??