If she did not care about housework, she would just not do it, not hire anyone else to do it, and the house would be a mess. That's what the husband does and it works for him because that's his personality. He only cares when someone important to him nags him about it, and he has to "work" to at least pretend to care.
The actual work of cleaning the house he did, eventually. He never did the emotional work of convincingly pretending to really care about it.