Beveling, lubes, and so forth provide some relief, and you do indeed need some side-to-side clearance. But the real culprit is that once the hinge pin is bent, each segment of the hinge is working on a different axis. Imagine an engine crankshaft with each of the mains bored and ground on a different axis from one another and you'll get the picture. Ultimatley, the little fingers for each segment will have to be sprung open to provide the necessary clearance. The most straight forward way to do this is to just open and close the lid through enough cycles to free it up. I think this is a reason why the originals tend to incorporate narrow lids - it minimizes the the discordant angles through the working portion of the lid. At any rate, this breaking-in process is a distasteful way to treat a nice, shiney new patchbox lid, but somebody's got to do it.