But it would matter, usually. Human nature. And if the guy was surfing all day and the woman was working her pants off, you're right that it isn't his problem that she could not get her laundry done or get dinner b/c she is too busy. It isn't his problem.
Someone who cares about someone, though, would not feel that way.
We don't know if that's the situation.
But for argument sake, let's say he is goofing off all day and feels that it's his right b/c he earned his retirement. Kudos! Whether or not she has a right to get miffed that he doesn't help her doesn't mean she's not going to resent the fact that he doesn't WANT to help her.