Inertial openings, i.e. snapping your wrist to flip the blade out rather than thumbing it open with the hole or stud is what I was talking about. The method you describe for your Grip would also qualify. You are essentially pounding on an anvil (the stop pin) with a hammer (the blade) every time you do that. Eventually, it will peen the surfaces down. The Axis has quite a bit of travel to take up the slack being created, but it will eventually run out of travel, leaving you with vertical play. It may not happen in your lifetime, but it is certainly possible.
As far as lockbacks go, the spring pushes the lockbar toward the pivot pin of the blade, taking all the clearance out of the pivot when at rest. When pressure is applied to the edge of the blade, such as when cutting, the blade is pushed in the opposite direction against the spring, and the clearance between the blade and pivot pin is moved to the opposite side. The smaller the clearance between blade and pivot, the less vertical movement will be felt. When the clearance between the pin and the blade is reduced to zero, so is the movement, including the rotation of the blade around the pin. At that point it's called friction fit. There may only be one one hundred-thousandth of an inch of clearance on a high end, hand-fitted custom, but there has to be some for the knife to fold. On a production knife, I would guess around five ten-thousandths of an inch to be about the minimum practical clearance. The length of the blade multiplies that greatly, so a relatively small clearance at the pivot can be felt at the blade tip.