The example is inaccurate because we don't know whether JJK made both forms of cards, but we do know that ESCO made the Dad's cards. Expressed as a syllogism, the actual Dad's situation flows from general to specific:
ESCO made all Exhibit cards
Some Exhibit cards are Dad's cards
Therefore, all Dad's cards are Exhibit cards
The logic moves from general to specific because we know the general proposition. Without the general proposition, the next steps fall apart. We don't know whether JJK also made the blank backs or whether someone made the imprinted cards for JJK and also used the art to make additional cards for another customer. I suspect the former because JJK Copyart Photographers were a NYC based photographer that made other cards too. Here is one the company made that is clearly a promo for a circus act:
It has the imprinted back, but odds are that any customer who wanted a blank back could have ordered it