2011 Kawasaki Mule: Loses power when it warms up. even in cold weather. further you push the gas pedal less power it has.

https://www.manualslib.com/manual/803081/Kawasaki-Mule-4010-Trans-4x4.html?page=37
You did not say what model you have
https://www.kawasakimotorcycle.org/forum/kawasaki-atv-mule/152674-2012-diesel-mule-4010-no-power-steering.html
https://www.kawasakiforums.com/forum/general-tech-9/kawasaki-mule-3010-trans-4x4-640/

Will it start with starting fluid

Check for a fuel obstruction, sounds like urs starving for fuel, test or check your lines, fuel pump, any valves, etc are free and clear. I hope this helps!

Sounds like not getting petrol, clean petrol tap to get a good flow and clean and strip carburetor the needle and seat could be clogged any way clean and blow out jets and holes with compressed air put back together and away you go.

My lawn tractor with a Kawasaki engine had the same problem. I found that the linkage for the gas throttle had a lot of dirt on it and would not let the throttle close completely. So when I shut off the warm engine, gas leaked into the cylinder. It would take a lot of cranking to start. When it did start, the exhaust put out black smoke.

sounds like electric fuel pump when it quits,take fuel line off at carb turn key on you should hear pump and see fuel coming at line

Is your choke working OK? Even in the summer time a cold engine needs a littel choke...more gas than air to get started. But you don't need to keep the choke on for very long in the summer since the engine warms up faster. You could try some carb cleaner or even taken the carb off and cleaning it good because it sounds definitely like a fuel problem so it was a good idea to check the pump and filter.

As in...? Cold start as in warm weather not being run in a while, or cold weather every time it cools down? Is that fuel injected or carbureted?

Kawasaki mule 610 new battery but little to no power to solenoid. Fully charged starter makes rapid clicking noise. When attacked to battery jump starter it will start. Mule was running excellent for 2 weeks with new battery. I was told by kawasaki technician it was ignition. Nope thoroughly skimmed inspected wires and see nothing wrong. Technician told me different second time, it's now the starter replaced starter ($450) and still no results I'm at a loss

Hello Anon..
First, I would check to make sure the carbs are getting fuel, and then fuel getting into the cylinders. Your question about low oil - did you let it get low and then it quit? ...
If you put oil into the cylinders and only got 100psi, this might be your problem. You should be pumping around 120+psi without putting anything into the cylinders... Recheck the compression.= .take out all spark plugs...screw the gauge in until the o-ring seats, hold the throttle wide open while spinning the engine over for about 5 seconds... you should get 120psi +/- 10psi.
If you are getting less than 100psi.. it might be time for a rebuild..