Oh right, okay. So engineering "theory" (or "facts" as I prefer to call them) must have been wrong for centuries then...
I agree that the old "step-through" women's frames were very much inferior in their structural properties than the equivalent man's frame because the front "triangle" was actually more of a parallelogram; but to state that a smaller diamond frame will be inherently more flexible than a larger version is just utter nonsense.
By this argument, a BMX frame would be like a modelling balloon compared to the biggest road frame available, which clearly isn't the case!!
Any frame designer, fabrication design engineer (that'll be me then, although 25 years in the trade can't be called any sort of experience, can it?), structural engineer or even architect will tell you the smaller the triangulation, the stiffer the structure.
I would hazard a guess that with the two bikes given as an example, at that price point you will experience an incredible amount of flex from poor-quality machine-built wheels and spindly mass-produced suspension forks. And to be quite honest, unless your good lady is, erm, shall we say, very "big boned" (which I am sure she isn't), there's no way on this earth that you're going to be able to induce a noticable degree of flex in either frame short of putting it in a flexure test jig. A 5-foot, 7 - 9 stone woman is never going to put as much stress on a frame as a 6-foot, 14 stone bloke, whichever way you look at it.
Having said that, I don't know why I bother because you can't argue with idiots...