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Julie(who, I am told, puts the price guide together almost single handedly!), repeatedly lists the more common variations backassward, that is, the Ward retired cheaper than the Ward second base; the Glasscock Pittsburgh more than the Glasscock other team, the Ewing Cleveland the less pricey of the two.
But my instinct is the same as yours: a no team-name common should be worth more than a team-on-short common. BUT...can't say how much.