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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.
Rigid lefty is none of those things.
Except maybe stiffer, but stiffness to weight < a normal fork with a maxle or something