I have regularly seen "Christ chose only men to be apostles, therefore women cannot be ordained". The logic of the argument is identical with "Christ chose only Jews to be apostles, therefore gentiles cannot be ordained". Both are of the form "Christ chose only members of group <X> to be apostles, therefore non-members of <X> cannot be ordained." If you accept the first argument, then logically you must accept the second one.

JPII actually gave no reasons for denying ordination to women, other than "because I say so".