You recall correctly. However, it only has space for 6 discs (3 discs for the movies + 3 digital copy DVD-ROM discs), which still leaves one disc in the 4K set without a corresponding holder because the new edition comes with a bonus disc, in addition to the 4Ks and new BDs.
I thought about that, but I wanted to gift the old set to a friend of mine when I got the new one. It didn't feel appropriate to give her the old discs in the new packaging. If I was keeping both sets, I would probably switch them as you suggest. Since I'm not, it felt to me like the old discs really ought to go to my friend with their original packaging.
That old packaging is pretty awful anyway if you expect to access all 6 discs in arbitrary fashion.
_Man_