Well well. I'm amazed. After decades of struggling to end up with perfectly/easily peeled hard cooked eggs yesterday I 'lucked' out.
Here's what happened:
I put six really fresh large eggs on the counter from the fridge where they had been for two days after being bought directly from the farmer.
The eggs sat on the counter for about an hour.
Meantime I was hard simmering some Yukon Gold potatoes in salted water. When the potatoes were cooked el dente (making potato salad) I lazily decided what the hell I'll slide the eggs into the almost boiling water. The eggs will be a disaster as usual anyway. I left the eggs in the hard simmering water for a few minutes knowing basically how long they'd take to cook through.
Then I put them and the whole peeled potatoes directly into bowls and put them in the fridge to cool. They were in the fridge for about an hour.
I took the eggs out of the fridge and cracked one and the shell almost came off in two pieces! I was amazed! Must be a 'fluke'. Same with the rest of them! They peeled perfectly and remember these eggs were really fresh.
So I had warmed up the eggs somewhat by leaving them on the counter for an hour.
I had put them in almost boiling salted water. (not sure the salt made any difference but who knows?)
Had refrigerated them for at least an hour.
I'm going to repeat this exactly in a couple of days.
If anyone else feels like trying this happy accident please let us know.