If the bow's tiller at full draw, what some call relative limb strength, is disproportionate, the stronger acting limb WILL pull the string fulcrum, nock point, and arrow nock toward itself, relative to the shelf. By the time the bow is back at rest, at brace height, it WILL have returned to where it started. Where you and I differ on this Steve, is that you believe it returns AFTER the arrow is gone because the arrow somehow has the ability to completely overpower the strength disparity between the limbs... while myself, I believe the nock point begins to return to its original position as soon as we release the string, because releasing the string allows the power we stored in the limbs (disporoportionately in this case) to affect the arrow. If the nock point is returning to its original position relative to the shelf as the string falls, as I suspect it does, it's taking the arrow nock with it(unless the string slips through nock) until it leaves the string... which can inflict the arrow with a porpoising action. This is why some bows are difficult to tune and folks have to move the nock points to adjust relative limb balance to correct arrow flight.
If what YOU say is true, there would never be such tuning or arrow flight issues, or handshock, etc. because the arrow would cause the tiller to go back to "normal" the instant we let go of the string. That's simply not what I've found to be the case.
