Re: Stator question
Your battery is the source of a large amount of available CURRENT to operate the starter motor, the trim and tilt motor, and various accessories.
Classic symptoms of a bad battery are when a load is applied (trim tilt motor) the battery cannot keep up with the CURRENT demand from the trim tilt motor. The available current from the battery is not up to spec, and as a additional effect, the VOLTAGE will then drop off.
I just think you have two problems, stator and battery.
Doesn't cost a thing to load test at Auto Zone. That's how a load test is done; they put a tool on the battery, the tool loads it down, drawing huge amounts of current, and the tool looks to see that the voltage DOES NOT drop off....
A good battery can supply large amounts of current and still maintain 12v.
It is vaguely possible that as you draw CURRENT from the battery, which cannot supply it, the extra load placed on the stator to try to make up for the extra current, puts it into a condition known as saturation. This is not a boat term, it is an electrical term for when any coil has maximum current flowing in it. Once the stator goes into saturation, all bets are off on it's ability to provide power to the power pack. You don't know what the effect will be on the power coils on the stator and their ability to generate voltage and current to drive the pack.
Also, if you have a purple wire feeding the pack, (some systems do some don't) that is 12v. What are the effects on the pack if the voltage on that wire drops way below 12v?
I don't have the answer to that, but it is possible for the situation you describe to occur with both a bad battery and a bad stator.
If your battery tests good from the load test, that will be great. One less thing to worry about or replace.
Just my opinion.