I think there is a much more intense physics lesson to be learned here in this than your referrences to just basic verticle and horizontal "flex"
Radial compliance, which is when a bicycle wheel is able to deform in the vertical plane as you hit a bump or land and drop.
Lateral stiffness, which is a wheel’s lack of flex from side to side under cornering loads,
Or even torsional stiffness, which is the "wind up" a wheel can get under a really hard run
However, I am not going to play "Professor Damien" teaching The Basics of Physics, Room 101 this evening...lol.