First, it's common to have bullet OAL variances, like anywhere from .004 to .010 depending on the quality of the bullets you're using. Unless you shooting ELR, bullet OAL is not really much of a big deal. But, seating depth consistency is a big deal and that's often measured by the CBTO (Cartridge Base To Ogive). I've found the best way to get consistent seating depth, is to sort my bullets by BTO (Base To Ogive) using a comparator that has the same diameter (or contact point) as the seating stem in the seating die. There are variances between where the typical comparator contacts the ogive and where the seating stem makes contact with the ogive. Sorting this way assures very little variance in seating if your press is capable of seating consistently.
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Turret presses are not the best tool for getting consistent seating. So, I think this can be adding to issue you're having with your COAL's. And yes, there could be an additional issue with tension that's adding to that. Even the seating die itself that you have could be adding to the issue. Yep, a chain of things can all be adding up to that one issue and each needs to be addressed.