We show that radiative corrections to the Higgs potential in supersymmetric theories with large tanβ generically lead to large differences in the light Higgs boson decay branching fractions compared to those of the standard model Higgs boson. In contrast, the light Higgs boson production rates are largely unaffected. We identify Wh associated production followed by Higgs boson decays to photons or to leptons via WW * as potential experimental probes of these theories.