This topic has always interested me. I believe a hard tip imparts more spin on a cue ball than a softer tip. I have heard the old wisdom that the soft tip adheres longer changing shape to actually grip the cue ball giving the grippy spring like effect.This question needs to be qualified. Are you keeping the center of the shaft in the same position relative to the center of the cue ball for both diameters of tip? For example, imagine a 60mm nearly flat tip. with the center of the shaft at the edge of the cue ball -- where a normal shaft would surely miscue -- the monster tip would hit almost center-ball. (This is also an argument for a flat break tip.)
If instead you mean that the tip will contact the cue ball the same distance from center, then there is very little change in the spin/speed ratio.
One way to think of this is that the distance from center that the tip contacts gives you a certain lever arm for applying torque to the cue ball. A longer lever arm gets you more torque for the amount of forward force which gets you proportionally more spin for the speed.
From my experience hard and soft tips being made of the same material, similarly manicured will Have measurably different results when struck with a similar stroke and hit point on the cue ball. I think the hard tip imparts more friction.
When i play with a soft tip i notice i have to hit the cue ball harder to achieve my cue ball position. I must admit I am having some difficulty understanding some of the qualifications from the respected experts in this thread. Does a hard or soft tip put more spin on the cue ball please? Thank you!