This can't be right. I would think Edge has him beat.
I think he means more as in different, not more as in number of reigns. RVD held the Hardcore title to go with his IC, WWE and Tag titles (and if you count the unification with the European title, he held that one as well), while Edge has "only" held the tag titles, WWE and IC belts.
Edge has also been the US Champion, since they count the WCW US title and WWE US title as the same lineage.