At this point, I'm still working under the assumption that SMA4 is one of the GBA games. Multiple Nintendo support representatives named it as part of it, so it's pretty unlikely they'd all make up the same two games, which means it was in the system as one of the games. That could be mistaken, but it also had Kirby in that group, which they're saying is very likely.
I don't understand why Nintendo would respond to it the way they did, but that's not an uncommon reaction for me regarding Nintendo PR.