I provided illustrate conservatives' use of this gender stereotype, as well as the perceptions of sexism by those on the left decrying such behavior. I think you can find more examples with the google.
I have been an advocate for survivors of relationship violence for over thirty years. I can assure you: this and all other forms of sexism remain a big issue, because these little instances of sexism are a fundamental underpinning of all relationship violence. Batterers find it much easier to assault--or justify their verbal bullying--when they objectify or belittle their partners.
Again, I find it disheartening that so many women have grown inured to such derogatory messages--so much so that we become uncomfortable with the person who points out the sexism, rather than with the person who acts in a sexist manner.