Why was Kit's Deck the only one without a Contract?

[PrimoPiccolo]

Originally Posted by Kamen Rider Decade

My theory is that Adam has a corrupted version of the original Dragon Knight deck since he is corrupted himself.

Thus Kit couldn't have a deck that is already contracted.

How then does this deck even exist? You know, if we're working under the assumption the Advent Decks Xaviax has been handing out each belonged to the Warriors of Ventara before they were vented.