This informal study indicates that when cohabitating, men do less housework than when single and women do more. The article cites that the main reason seems to be that women put in the extra hours to maintain their preferred level of cleanliness, while men don't so much worry about that.
I know I do more housework when my husband is in town than when he's gone. There's more laundry, more dirty dishes; in general, more mess.
And no, he's not so much into doing regular housework.
I let it frustrate me on occasion, but then I remind myself that he more than carries his weight with our house's technical needs. And carpentry needs. He's great at planning trips and often does most of any long distance driving (which I hate) when we travel. And although I like to cook, my husband is better at it and does it more often.
There are a lot of things that would just never get done around here if it were left up to me and I appreciate that he's willing to tackle them.
I actually enjoy housework to be honest, so I don't so much mind putting in my share of our combined responsibilites on that front.
It is interesting though to see these gender stereotypes emerge when men and women move in together.