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Measure the diameter of your lee sizer push rod…
If it’s diameter is smaller than the smallest body bushing diameter in that particular listed diameter of that particular bushing set… then it will work… and not get stuck in the body bushing that it is trying to pass completely through…
If not then you will get the push rod of either type stuck in the NOE body bushing, & that would not be any fun at all.
Also the length of the other manufactures sizing die push rods appear to be shorter than the NOE push rods…
Since you have to basically push the cast bullet completely through NOE body bushing to do the complete sizing of the entire bullet you may have another issue here…
It will not really work if you can only push the cast bullet part way through, & then try to use the next cast bullet to finish the job of sizing the bullet ahead of it…
You will only mess up the second bullet trying to complete that particular sizing job… on the first bullet…
Push rods are not that expensive, & really should only be utilized with the body bushings that they are grouped with, as initially noted above.
Your call on how you want to handle the sizings…