given a prime $p$, a finite extension $l/\mathbb{q}_{p}$, a connected $p$-adic reductive group $g/l$, and a smooth irreducible representation $\pi$ of $g(l)$, fargues-scholze recently attached a semisimple weil parameter to such $\pi$, giving a general candidate for the local langlands correspondence. it is natural to ask whether this construction is compatible with known instances of the correspondence after semisimplification. for $g = gl_{n}$ and its inner forms, fargues-scholze and hansen-kaletha-weinstein show that the correspondence is compatible with the correspondence of harris-taylor/henniart. we verify a similar compatibility for $g = gsp_{4}$ and its unique non-split inner form $g = gu_{2}(d)$, where $d$ is the quaternion division algebra over $l$, assuming that $l/\mathbb{q}_{p}$ is unramified and $p > 2$. in this case, the local langlands correspondence has been constructed by gan-takeda and gan-tantono. analogous to the case of $gl_{n}$ and its inner forms, this compatibility is proven by describing the weil group action on the cohomology of a local shimura variety associated to $gsp_{4}$, using basic uniformization of abelian type shimura varieties due to shen, combined with various global results of kret-shin and sorensen on galois representations in the cohomology of global shimura varieties associated to inner forms of $gsp_{4}$ over a totally real field. after showing the parameters are the same, we apply some ideas from the geometry of the fargues-scholze construction explored recently by hansen, to give a more precise description of the cohomology of this local shimura variety, verifying a strong form of the kottwitz conjecture in the process.