Let me toss this out as an FYI because I do not know beans about the M4 whine. I did, however, have similar strange issues and related on a 5520 Deere that stumped me and the dealer.
In short it turned out that the remote levers valves sticking ever so slightly from not being used and we discovered this by accident even when the dealer couldn't find anything. I just worked the levers a little back and forth and the overheating of the trans fluid stopped. Other functions back to normal. In talking with others later, I learned that remote valve levers get sticky if you don't move them a little every now and then and can cause problems. The dealer spent $500+ (10 years ago) looking for the problem
This probably isn't your issue but you never know. Just my two cents.