My exP was talking about this at one time. He did actually stay off work for around 9 months when my second maternity leave ended and for various reasons to do with our circs. it wasn't an insane suggestion but it really bugged me that I was out of the house with a big job and a long commute and would come home to find everything just flung at me. At times, it seemed, almost saved up for me. He never made me, or saved me a plate of, a meal. I used to cry on the stairs in the evenings because I was tired and hungry and used to get straight off the train, go into bath time and bedtime, and spend ages settling dd2 again and again who was being a bugger with bedtime at the time. He would go downstairs and watch TV. It was fucking awful.
then he got a job. Later, he suggested dropping it or going full time and like the OP I just saw red. I couldn't believe he thought that his presence in the house was anything but a lazy irritant to me, and it was infuriating that he thought his version of doing the job was anything remotely equivalent to mine. I can't remember exactly how this conversation went but I didn't encourage him to do it and it didn't happen.
Now we are separated and I can't believe how close I got to a situation where I would have had to work like a bastard AND support him and my children in a house without me. We have shared care of the dcs, a house each, and no one pays maintenance to anyone. It is the best possible outcome.
I am writing all this not to hijack the thread but firstly, for full disclosure - yes I have a particular POV on this coloured by my experience; and secondly, because it is important to note in our very "yay dads! dads are great!" on mn that many or most dads are just not trained or socialised to do a job of caring for children and supporting their partners in the home as well as women are. I am not saying they can't in principle, or that they shouldn't. But honestly, realistically, they just don't, right now.
I think we have a narrative that is very encouraging towards them because we've taken the decision, on this board anyway, on some collective unconscious level, that right now the state of evolution that our society is in requires us to be very jolly and encouraging and uncritical (and actually rather patronising) to men, in an attempt to get them to do anything at all. Maybe it's part of a bigger project where their half arsed ness will actually get criticised and developed at some point, once they have begun to do anything at all. Maybe not - maybe women will carry the can forever.
However, theoretical ramblings aside, in this the OP is furious, and there is a reason for it, based on her own experience and instincts. She would do better to listen to this than to a bunch of optimistic pollyannas on the internet. Because if this goes tits up she will LOSE her children who will NOT be living with her and she will STILL be working full time to support them and perhaps living in a bedsit