Thats a bit of a generalisation there but I think you are conflating a few things:
You say women who are overweight want men who look after themselves
But what I see on threads countless times, when women say they want men who will look after themselves what they mean is:
Men who actually clean their teeth, shower regularly, don't leave wee everywhere, don't leave dirty pants/clothes lying around etc etc
You know what, despite being overweight I still expect my DH to do all of the above, because I do all of the above.
Also as an aside I am overweight due in part to hormonal issues caused by a congenital abnormality and in part due to years of steroids due to the congenital condition. I am on a very strict low calorie diet that just succeeds in stopping me from putting more weight on which on steroids is horrible.
That doesn't suddenly give my DH free rein to stuff his face full of crap and stop exercising, because both of those things make him cranky and grumpy and harder to live with (which we know from every time he has had a few weeks of eating complete crap and not swimming). So I manage my medical condition carefully to have the least impact on us and he manages his diet and exercise to have the least impact on us.
As for women who are lazy, have you read the threads on here? Women are overwhelmingly left with the majority of the housework, the majority of the childcare, the majority of the mental load etc. Its fairly rare that the women are the lazy half of the relationship. So when they want their DH to do 'all the chores', which I have never seen, what is actually happening is that they want their DH to do their half of the chores. Which again seems reasonable.
Are you actually a woman, and have you been on MN long? Because your opinion of the average woman seems pretty skewed. As far as I can see the average woman wants a man who is clean, tidy, pulls his weight and doesn't treat her like shit, and even that apparently is setting the bar too high going by the majority of threads about crappy partners on here.