The bulk of the value will rely on the signature. If the signature has a higher value than the card it will add value. If the card has a higher value than the signature it will bring the value down. Collectible items could add value to the price of a signature but not always. As in the case of a baseball card, generally collectors of Baseball cards would rather have a baseball card without the signature. The signature would be considered as a flaw in the condition of the card and will lower the value.
A collector of signatures will not always pay extra for the "collectible" baseball card. The autograph collectors main concern is displaying the signature. This is why it is not a good idea to have an expensive baseball card signed. You could devalue the price of the card, and get less for it.
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Inscriptions do add value in making the signature more desired but it doesn't always translate into getting more than the market value of the signature. In most cases it does. The increased value will vary depending on the inscription, and the player that signed it.
Promoters of autograph shows do charge extra for inscriptions. The premium for inscriptions at player signings could range from $10. - $30. depending on the player. Some players who's signature is not as sought after, might do it for free. If the player commonly signs inscriptions it might not add value, as rare inscriptions will sell at a higher price.
Collectors will pay more for inscriptions such as "HOF" dated inscriptions, or milestone inscriptions like "300 Wins", and pay less for personalized inscriptions like "Good Luck Chuck"