Unless I mis read, except for the measure before part, I think OP has done just that - now I think should be trying to nail down whether lack of re-sizing is due to someone's work within the die, wrong die body, or due to someone over-thinning the case necks - either would result in no sizing to neck, which he reports, but from different causes? Therefore different remedies? His idea about the collect die, I do not think will work if the necks have been peeled too thin - collet sizing pretty much stops when those little finger close up tight to each other - which would happen on "too thin" necks.
He also stated that his .264" bullets just "drop through" his "sized" necks, and that the die had a .257" expander ball (??), so his "sized" case necks are too large for a re-sized 6.5x55 case - not being re-sized enough - almost as if being run into a 270 or 7mm sizing die of some sort, or perhaps a "wildcat" 270x55 die or a 7x55 die? - would need to gauge or do a casting to know?