  We show that the leading twist contribution to exclusive electroproduction of
transversely polarized vector mesons vanishes at all orders in perturbation
theory. Therefore one cannot extract information on the quark transversity
distribution of the nucleon from this reaction. In turn one has that the
produced vector meson is purely longitudinal in the large-Q^2 limit, which
provides a new test of the dominance of leading twist at finite Q^2.
