Does fixing the spine of a book affect its value?

I was given a lovely little collection of children’s books. They are small illustrated books (about 6×6 inches). Most of them are missing their spines or the spines are half ripped off. You can see the cheesecloth binding instead of the spine with the title. I have researched and found a place that sells tapes (in various colours to match the binding) to replace the missing spines.

Some of these books may be (?) first editions, but they are all at least 70 years old. Will fixing/replacing the spines affect the value of the book in the long run?

Any info would be appreciated.