At some point the OP will need to bump the shoulder back, so just having a Lee Collet die and not a full length or body die is not enough (maybe he has these others - not sure). Yes, often you can get away with neck sizing only for several firings but that will only last for so long. I just ran into a situation where I had to bump shoulders on once-fired Remington brass for my .280. I thought it was a bit strange (and it is relatively rare, in my experience) but that's just the way it goes sometimes. New brass does not always come out of the factory presses spot on, at the very minimum SAAMI dimensions all the time, due to variations in lot-to-lot material hardnesses, annealing effectiveness throughout forming processes, machinery conditions & setup, etc. Add to this, the fact that all rifle chamber dimensions are not the same and all die dimensions are not the same.
Cartridge trim length is also a factor. OP has stated that all his brass is about the same - within .005. But is it the correct length? Personally, I've yet to run into a chamber where a shorter than book-recommended trim length is needed but again, it's possible. Try trimming a few of the ones that chamber hard another .005 further back to see if it makes a difference. It can't hurt. Without knowing the actual measured chamber length, it's hard to tell what trim length is required.
Of the few Lee collet dies I've had, none gave enough neck tension where the bullet wouldn't push back into the case if seated excessively long. I doubt this is a factor here but yes, it could happen.
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