I don't believe caliber is a mute point at all. Modern ammo does make calibers like the 9mm more effective, but it also increases the effectiveness of the .45. All else being equal (shot placement, bullet type, design, and matierial, etc) the .45 will do more damage to tissue.
While on the range, faster accurate follow ups are easier with a lighter caliber, its not so simple in the real world. When the standard for police departments was the .357 revolver, officers typicaly fired 5 rounds and hit with 3. When the hi cap 9mm became commonplace, the number of shots fired climbed to about 10, and the hit rate dropped to < 40%. So a softer recoiling caliber did lead to more follow up shots, but poor shot placement.