Has anyone actually carried out proper research though? Not sure how, short of measuring many hundreds of old windows and doing a lot of statistics.
New glass is very slightly elastic, and loses that, becoming more brittle with age – friends in the trade but with no commercial connection with me, have told me it's no use trying to re-cut old windows as they just break uncontrollably.
That elasticity was used in making the first big astronomical telescope mirrors or lenses. The method is described in one of the three Holtzappfel books reprinted by TEE Publishing. The blank was a disc made as flat and parallel as possible. This was clamped all round its perimeter, down to rings of precision jacks set very accurately higher than the edge. The top surface, now convex, was ground flat again. On very carefully releasing the clamps, I think I recall reading they were released very slowly, the glass would ease back to being flat underneath and concave on top.
I do not know if that method is still used. (Isn't the fancy word for perimetric clamping, encastre – with an acute accent on the last e ? )
If a relatively lightweight glass window can flow over the decades, then has such distortion been reported in the older, big optical telescopes still in use? Or are they always parked vertically so the object-lens or mirror spends the days in its most stable position?
Thinking of the relative weight across a window-pane, I would be very surprised if enough glass has crept for even an experience glazier to tell the difference by balance, even with something the size of a shop window. It would in case be hard to be definite about old windows because rolled glass was never perfect anyway. My parents' Edwardian home had wiggly areas in some of its sash windows.
The old leaded windows and bull's-eye panes were not made that way to delight County-magazine buyers centuries hence, but because large sheets could not be made in those days.