The dimensional-deconstruction prescription provides a mechanism for recovering the A-type (2,0) theories on T2 starting from a four-dimensional N = 2 circular-quiver theory. We put this conjecture to the test using two exact-counting arguments: we compare the Higgs-branch Hilbert series of the 4D N = 2 quiver to the “half-BPS” limit of the (2,0) superconformal index as well as the full partition function for the 4D quiver on S4 to the (2,0) partition function on S4 × T2, finding, in both cases, exact agreement. Inspired by this agreement we will take a first step towards a similar program for D-type theories.