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It seems to me a a basic and obvious concept that the aggregate ratings of fictional players and the distribution of ratings within the sample need to match those of the real life players who created the data in the league totals. That seems not be be happening. I don't know if it was intended to happen and didn't or if it wasn't considered.
What I suggest you do is rather than use fictional players use historical players for the year of the LTM. There is a function to rename all of them and if you erase all history you won't have the stats to tell you who they are. Once you dump them all into a draft pool I'd guess most won't be recognizeable.
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