i just had an idea, that also involves a bolt, only that the bolt is not secured
it may be possible that your parts are being pulled because of elastic deformation, thus, considering that your chuck is in 100% condition, the thin walls may deformate, and contact area is reduced; the more force you use on your chuck, the higher the deformation; only that, after you remove the part, it simply shows no deformation, because everything was elastic
a technique to clamp parts with thin walls, is to put inside them a rod, then clamp the od; for example, if the id is 70H7, and you check it with a go gouge, then the rod diameter should be just a few 0.01s under the go gauge; like this, part won't deformate, and a higher grip force will be available, because nothing is lost/transformed into elastic deformation, or, more precise, the elastic deformation can not go beyond the play between the id of your part, and the od of the rod / kindly