It's not that we undervalue woman's contributions so much as we would show that we undervalue the professions woman are predominantly in; i think that's what he was saying. It would be hard to prove if as a society we undervalue 'woman's work' (professions traditionally dominated by women) or the work woman do.
I think she should carry the burden of the cost of the police investigation as well as monetary compensation to the man. She should also have this in her permanent record - that she is a liar.