Open Question: "I'm a big fan of yours"

Linguists, I've got a question. Is there any distinction to be made between (1) and (2)?

1. I'm a big fan of Rhianna.
2. I'm a big fan of Rhianna's.

I find both acceptable, but think I think I would prefer (1)? For pronouns, though, I think they must be possessive pronouns.

3. *I'm a big fan of you.
4. I'm a big fan of yours.
5. *I'm a big fan of her.
6. I'm a big fan of hers.

But I think it's strictly animacy based, since for inanimates I think the possessive form is ruled out, or is at least worse.

7. I'm a big fan of coffee.
8. *I'm a big fan of coffee's.
9. I'm a big fan of Star Trek.
10. *I'm a big fan of Star Trek's.
11. I'm a big fan of it.
12. *I'm a big fan of its.

I don't think the acceptability of (1) is related to a sort of corporate entity reading of "Rhianna." Both of the following seem fine to me:

13. I'm a friend of Joel.
14. I'm a friend of Joel's.

Thoughts?