The MX monitors all power supplies. If the voltage of one path is not high enough or to high, it will switch off.
Try the self test and the last error code, it will tell you if it was a power fail. "Menu 0 0 play"
A cold cap will work better than a hot cap. So the time will become shorter and shorter. There is no real hot spot in a cap, it's capacity is gone after a certain time.
A cap with acid around is dead and the worst possible defect.
Replace them all, they are all 20 years old. Caps have all a problem with time, even unused they will fail after a certain time. Even a brand new mainboard out of the storage will fail after 20 years...