I am forwarding this to my wife. She persists in this notion that vigorously boiling water is hotter than simmering. I've offered pretty much your explanation but a second opinion (especially from a chemist) may help.
Also I've heard that the shells are less prone to crack the simmer method.
A relative has an even more efficient method that yields a near-HB egg (stays in one piece, can be peeled, but has a touch of moistness to the yolk) which is basically put eggs in, cover pot, shut off stove, retrieve eggs in seven minutes.
(if you're an egg hater like me, still awful, but others seem to like his near-HB)