Let's say a celebrity or athlete rarely signs full name autographs and also rarely inscribes autographs.
If you had to pick, would you go with the rare full name autograph with no inscription or a regular autograph from the person with a rare inscription (such as "Triple Crown" on a Mantle ball or "Beatlemania" on a Paul MCcartney)
If I was buying to sell I'd pick what "you" like, if I was buying to keep I'd pick what I like. My answer to your question would be largely dictated by the inherent qualities of the item that is signed. Overall, I prefer as much writing as possible for many reasons - authenticity and context among them. Saw a "for Neil, with love, Bo-° 80" matted to "Bo-° 80." If I were paying by the letter...