"Some people believe that corrected versions were only distributed in 2002 Topps holiday (blue) factory sets. This error was NOT corrected for the HTA and Limited Edition factory sets (see below).”
This statement from baseballcardpedia suggests that blue sets exist that are not HTA sets but every single one I have seen is marked as an HTA set. Also, it is not true that the HTA Pujols wasn't corrected. It definitely was and examples of both versions can currently been seen on ebay (I own none).
On factory sets: I opened plenty of each the green and red sets but also several "red" sets that, once in hand, looked brown or orange. A stark difference side by side. My Loretta correction came from a red (or orange or brown) set, not a green one.
Owner and creator of JunkWaxGems, online source for unlisted error, variation and oddball info from the junk wax era.