Does a Jinchuuriki gain the nature of his/her tailed beast? I find this question interesting here: Chakra nature of Tailed Beasts.

And I saw the comment: Does a Jinchuuriki gain the nature of his/her tailed beast? And if so, does the tailed beast gain the nature of its Jinchuuriki?

So to confirm this, I ask a different question.
I believe it has some sort of influence, but is not absolute:

Example pro:


Roshi, Son Goku's Jinchuuriki, uses lava similarly to the bijuu.
Gaara, Shukaku's Jinchuuriki uses sand much like Shukaku himself (although it was later revealed to be Gaara's mother).


Example against:


Naruto, Kurama's Jinchuuriki, has Wind as his main element, but Kurama has not shown using Wind at all.


I do believe the bijuu has some sort of influence on the Jinchuuriki's chakra development, especially if they're sealed in them when they are very young. (Naruto's chakra alone was said to be at least 4 times in amount that of Kakashi).

As for whether the Jinchuuriki's chakra is the same the bijuu, I don't think so. It's more dependant on genes, etc.