[en] In a previous article, the first two authors have proved that the existence of zero modes of Pauli operators is a rare phenomenon; inter alia, it is proved that for vertical bar B vertical bar is an element of L^3/2(R³), the set of magnetic fields B which do not yield zero modes contains an open dense subset of [L^3/2(R³)]³. Here the analysis is taken further, and it is shown that Sobolev, Hardy and Cwikel-Lieb-Rosenbljum (CLR) inequalities hold for Pauli operators for all magnetic fields in the aforementioned open dense set. (author). Letter-to-the-editor