So i am not a fan of a signed book for the sake of having a signed book.
I often see a “signed by author” sticker on books in my favourite bookstore, and i usually avoid those copies.
This is not because i hate signed books, I have lots of signed books, but in most cases they are about what the signature means.
In most cases, it is a book i got signed while interacting with the author of the piece, and usually have a bit of a good memory associated with them. In one case the signature is not important, it is that a friend of mine went and got the book signed for me, not because i asked, but because she cared enough to make the book a little better.
A signed book is ok, a signed book with a story is so much better.