I was not sure I should use a plural or singular noun in a negative sentence.
But later, I thought it might depend on the context.
Do you think my explanation below is correct?
Example 1:
A: I have many books. Do you have books?
B: I don't have books. I prefer watching TV.
meaning: B has zero books.
Example 2:
A: We still need to wait 2 hours for the flight. Do you have a book?
B: I don't have a book. You can take a short nap.
meaning: B has zero books with him.
Example 3:
Maybe a plural noun can be taken literally to make a joke
A: I have many books. Do you have books?
B: No, I don't have books. I have one book only.
meaning: B has one book only.