Yes, that is the claim of white/male privilege. However, the implication of saying that something "usually" doesn't happen to women, is that it usually happens

Yes, that is the claim of white/male privilege. However, the implication of saying that something "usually" doesn't happen to women, is that it usually happens to men. These were very specific benefits that do not usually happen to anyone. The statement is just as invalid as a privilege denyer saying "poor white people have less privilege than rich black people", except they were made for "your side" rather than "the enemy's side".