What? The shape and proportion of a LM double basket is significantly different to another double basket?
Yes.
Baskets vary from quite conical (wider at the top than the bottom) or cylindrical. LM baskets are completely cylindrical, even their two-step single baskets; Faema and Cimbali baskets are nearly cylindrical; and other baskets are more tapered.
LM baskets also have a slightly different shape of hole at the bottom; this, I think, may make more of a difference than the shape.
In any case, it doesn't take a double blind testing, since the difference is quite visible: LM baskets tend to start with a lighter flow, that stays nearly the same color throughout the shot; whereas Cimbali and Faema baskets tend to start very dark and lighten more. This is why many people prefer the LM for normales and the other two for ristretto shots. In barista competition, where even colored crema and normale shots are a must, LM baskets definitely will give the competitor an edge. This is also true when making beauty pictures of espresso shots or extractions.
Whether the difference would survive a double blind, blind-folded taste test (when, as the old cook school trick shows, most people can't tell rhubarb from calve's liver blindfolded), and how one could double blind test a basket (how many statisticians does it take to mount a PF?), are, in themselves quite fascinating questions.