Frankly I am astonished.
A "quick" reading of the preceding 28 pages reveals torrents of abuse heaped on MS and the Surface Pro overheating issue over a long period of time. Sadly with ZERO recognition from MS themselves (and it is their forum and I assume they read this stuff....??)
That anyone would even think they might replace it for free, yes astonished me. If they do (yeah right) then good on you. I wouldn't take bets tho. No way.
Yes it was a damn good product; and then it wasn't. Furthermore the manufacturer couldn't give a flying stuff about the users (again, see preceding 28 pages...). So I still use MS software but not your hardware. Never will again. You burnt this customers hand MS (figuratively - otherwise it would have made a great lawsuit) and you wont be doing that gain.
Good luck