Abstract: Skein lasagna modules are invariants of smooth 4-dimensional manifolds capable of detecting exotic phenomena. Wall-type stabilization problems ask about the behavior of exotic phenomena under various topological operations. In this talk, we will describe the invariants we use and the necessary properties. We describe, with Wall-type external stabilization problems as motivation, a method for computing the Khovanov skein lasagna module of $S^2 \times S^2$. Rozansky-Willis homology, an invariant of links in connect-sums of $S^1 \times S^2$, makes an appearance in this computational technique, and we establish a relationship between the skein lasagna module of a family of 4-manifolds and these invariants. This computational method shows that Khovanov skein lasagna modules over $\mathbb{Q}$ are annihilated by external stabilizations, and has proven useful for establishing the functoriality of Rozansky-Willis homology.