Oversized 308 brass

If shoulder is bumped back too far it is not ideal.
depending on amount, you could seat bullets to lands. This would hold it in place. Use mid level load and blow it back out. Case head separation will occur sooner due to overworking so check each subsequent cycle prior to loading.
How much is shoulder set back?
 
It will be fine if you hold headspace with long seated bullet. Touch the lands.
The case stretching occurs near the base, not the neck. Case life will be shortened so keep checking every cycle.
 
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Couple other things you could try.

Size with a small base die without touching the shoulder. That might help.

Expand the neck with a 8mm mandrel than size the outside of the neck with a 308 die just enough to chamber. Not sure that will work well with your autoloader.
 
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