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My folk-physics indicates that, with equal mass, the tube gets stiffer as its diameter increases.
None of these things...Bouncy Lefty, Rigid Lefty and a trad CX fork have equal mass.
If the single crown single sided fork had any kind of advantage, other fabricators would build them.
As it happens, Bouncy Lefty has an advantage over other suspensions forks - stiffness to weight - and other fabricators don't build them because Cannondale have a patent. But they do build similar things like the U.S.E Sub.
Something to do with one tube with a large diameter and small wall thickness being lighter than two tubes with small diameters and large wall thicknesses...maybe, I'm probably wrong but it's the kind of thing a company would say to try and sell more bikes