The ball is a projectile.
The force the original poster refers to is neither lift nor drag as it acts perpendicular to the plane of the balls trajectory which is the plane in which lift and drag are measured. The trajectory "bends" because of this force.
However, spinning objects in viscous fluid do develop "lift". Something that gave Mr Kutta & Joukowski a headache or two no doubt.
IMHO, if the ball is spinning as the original poster suggests, the difference is purely due to the fact that a turbulent boundary layer will remain attached longer than a laminar one, with the net effect being a resultant force in the direction of the swing.
Aircraft want as much of the wing as possible immersed in laminar flow in the high speed regime and the latest possible flow separation i.e., highest AOA for stall, in the low speed regime.
I seem to remember colleagues of mine trying to suck away the boundary layers on aerofoils in our wind tunnels to reduce Cd...