Can you describe the change in the coolers sound as that may be something I can help with. I have worked on quite a few cooled cameras and know when they sound 'sick'. Failure modes are usually loss of gas (runs at maximum speed for ever!) or mechanical failure (sounds like something is loose inside making lots of noise and vibration). Coolers are often on their own self contained control circuit and can often run when a fault exists on the cameras microprocessor system. They will cool and drop into the slower maintain' state without intervention from, or need for, the main processor board. A camera that boots properly and runs in all respects, except the cooler sound is wrong, may have a fault in the motor driver for the cooler as it is two speed. A camera that does not boot, yet the cooler runs, is normally suffering from a fault not associated with the cooler. You are right to check power rails as a failed power rail could impact the cooler motor controller.
Fraser