That is a highly debated issue as people have been wondering whether Naruto is actually a Jinchuriki since he only has half of a Kyubi. Everyone in the series calls him a Jinchuriki but they dont know that he only has half the Kyubi.
Personally I think he is a full Jinchuriki just for the fact that a tailed beast is sealed inside of him, which is the only qualification of a Jinchuriki. Now to call him a psuedo Jin would be to question whether Kurama in his current state is a Tailed Beast. If your answer is "Yes" then there you have it. If your answer is "No" then you should have a very good reason for believing that.
Keep in mind that:
Jinchuriki = Person with a Tailed Beast sealed within them. (Killer Bee)(Yagura)(Han) etc...
Pseudo-Jinchuriki = Person with Tailed Beast Powers/Chakra, but no tailed beast sealed within them. (Kinkaku & Ginkaku)(Current Gaara)
Im not saying its an easy decision, but I personally think both are currently Jinchuriki. Kurama may currently be 2 separate entities, but both entities are Tailed Beasts, with their respective Jinchuriki.