Why would you interpret it that way? Are you a lefty/feminist?
No, I am not a lefty.
But Kasich is running for POTUS and has outed himself. Some/many women will not take the phrase well, even if they would ‘get out of their kitchens.’
Kasich can’t afford to offend that voting segment.
I would hope men can cook. I do. So does my brother, who is a really good cook.