Interpretation of $(2,0)$-tensors

Question

I am aware that $(0,2)$-tensors are things like an inner product, a differential $2$-form, and more generally a bilinear map. I am aware that $(1,1)$-tensors are just linear endomorphisms. But what about $(2,0)$-tensors? They are elements of the space $V \otimes V$ so it is not correct to think of them as pairs of vectors, and simply saying they are "formal sums of pairs of vectors modulo some relations" is nothing more than citing the definition. Hence my question to complete the triad of rank-$2$ tensors: is there a nice interpretation of $(2,0)$-tensors?