Well, technically, no, because Feldzeig doesn't come up with the idea for Aldolpho to "seduce the bride" until a bit of the way into the show. I don't think this show (or, at least, the show-within-a-show) relies on logic a lot of the time. It's a part of the comment of how silly old musicals can be at times. Aldolpho is there just because he's there. Or maybe it's because he's at least somewhat famous ("the King of romance") and this is the wedding of Janet Van de Graaf, a celebrity.
"Art, in itself, is an attempt to bring order out of chaos."-Stephen Sondheim