Can you not call it "style"?
They've revamped the "attribute system", more at Surrender@20.
I really like it. But can we come up with a name for "basic attacks vs. abilities" that isn't something misleading like "style"?
I know, I know, "ADCs are just clicking mechanics", "you're thinking of the wrong definition of style", but it looks like (even if it really isn't) anything on the left side of the slider is going to be considered having "a lack of style".
Just call it "method", make the fact that it's an axe more obvious (probably just by flipping the icon), and also make it a bow for ranged champions. This'll not only help inform of their melee or ranged status, but give a more accurate representation overall.