Earlier quoted context omitted.
No, it's not a cryptographic hash function. It's a MAC function. The paper clearly states that it is not collision resistant.
I believe that you and tptacek may be using differing definitions of "cryptographic", because he tends to knows what he's talking about when it comes to cryptography (e.g. https://gist.github.com/tqbf/be58d2d39690c3b366ad ).
What I think of as "cryptographic hash function" is a function resistent to pre-image attack, second pre-image attack, and collision generation.
Neither of those are satisfied by SipHash, and can thus not classify as a cryptographic hash function by the normal definition.