I missed the article but thanks for the link. The University here has it on the shelf. The term is called 'creep' when a material deforms at the atomic level under its own weight. The old glass that is thinner at the top is not true plate glass, but rather was hand blown. Two hundred years ago they did not produce glass by floating it.
To get the concept what is happening with blown glass, bubble gum is a good example. It gets progressively thinner the farther out in the bubble and thicker at the wad of gum. Blown glass behaves the same way. The glass was blown into a cylinder the size and shape of a water heater. The ends were cut off while still hot. It was then cut end to end and layed flat. Obviously an installer would not install it with the thin side down (because he would be the guy buying the next one if he breaks it). Since none of us alive today were not around when blown glass was the norm, we don't think of stuff like that. Then combine the fact that the pen is mightier than common sense, and you get weird myths like glass being a "solid liquid". (I wonder how some journalists can even dress themselves in the morning.)