If you have no headspace, like you already figured out, they will be hard to chamber.
The bump of .001" to .003" you referred to , ensures the bolt closes easily, and case stretch is kept to a minimum.
When you push the shoulder back too far, the web gets stretched. The web is where the thick metal of the case head meets the thin metal of the case wall.
Think of bending a paper clip. If the bend it at a 90 degree angle over and over, it will break very soon. If you bend it at only a 5 degree angle over and over, it will go much, much longer before breaking.
Same with the case head. The less distance it is stretched, the longer it will last.
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