In a recent paper, Antoine, Perera and Thiel (APT) define the tensor product of two Cuntz semigroups using a categorical approach. Subsequently APT show that $Cu(A \otimes B) \cong Cu(A) \otimes Cu(B)$ if $A$ is a separable AF-algebra and $B$ is an arbitrary C*-algebra. In my joint work with Elliott and Kucerovsky, we show that $Cu(A \otimes B) \cong Cu(A) \otimes Cu(B)$ for $A$, $B$, $A \otimes B$ simple, exact, $\mathcal{Z}$-stable and stably projectionless. Additionally, our result can be formulated abstractly, i.e. , without mentioning C*-algebras. However, $Cu(A \otimes B) \cong Cu(A) \otimes Cu(B)$ is not true in general! The behaviour of the Cuntz semigroup relative to the tensor product of C*-algebras and applications will be discussed in this presentation. One such application is that for simple C*-algebras, Cuntz nuclearity implies nuclearity.