So you agree then! Sheesh, that wasn't so hard now was it?
Now, here's the kicker, and you'll love this: The reason it is referred to as 'Altitude Sickness' and not 'Elevation Sickness' is because a person standing in, say, Denver, with an elevation of 5281', may themselves be at an effective altitude that is higher, due to vagaries of temperature and atmospheric pressure, and as such experience physiological effects commensurate with that altitude. Do you see? Your altimeter, even in Denver, could read any altitude, referenced to any of an infinite range of possible datums, even 5281', but none of them would change the elevation of the city, its height above mean sea level.
Incidentally, radalts do not always measure height AGL, merely from what they lock on to, which is often other objects, be they on or above the surface, even below the aircraft, or on at least one fateful occasion, below the surface of the water below!
Finally, and in closing I should hope, addressing your point that words may be used to different effect in different settings; the original issue arose from the account of a situation involving aviation and the medical effects thereof, in which circumstances my explanation is absolutely and undoubtedly the correct one. QED, I rest my case.
Oh, and the Ordnance Survey
do use the term elevation, a couple of examples of such use (the product of a 3 second web search) can be found
http://www.ordnancesurvey.co.uk/oswebsite/freefun/geofacts/geo0019.html and
http://www.ordnancesurvey.co.uk/oswebsite/freefun/geofacts/geo1191.html