  We analyze the well-known equivalence between the quadratic Kontsevich-Penner
and Hermitian matrix models from the point of view of superintegrability
relations, i.e. explicit formulas for character averages. This is not that
trivial on the Kontsevich side and seems important for further studies of
various deformations of Kontsevich models. In particular, the Brezin-Hikami
extension of the above equivalence becomes straightforward.
