No, and that was my point. Anytime a woman complains of sexism or a minority complains of racism, someone from the privileged side will claim they're playing the sex card or race card.
Any time a woman/minority complains of sexism/racism WITHOUT ANY EVIDENCE provided, most from the privileged side will claim they're playing the sex/race card. The same thing would happen if a white male complained of being assaulted but didn't have any evidence of the assault.
The same thing will also happen if anything goes well for a woman or minority, like getting hired or promoted.
That's just not true and you should know better. A statement like that seems to come from those with a chip on their shoulder. Sure, there are still some chauvinists and racists in the U.S., but there are most certainly the small minority. [See what I did there?]