  In [Ok] Okounkov studies a specific $q$-analogue of multiple zeta values and
makes some conjectures on their algebraic structure. In this note we compare
Okounkovs $q$-analogues to the generating function for multiple divisor sums
defined in [BK1]. We also state a conjecture on their dimensions that
complements Okounkovs conjectural formula and present some numerical evidences
for it.
