Adaddy, I've read the whole thread (the last few pages quite fast though, so apologies if this has already been said) -
I went through an 'angry at breastfeeding' stage when my DS was about 3/4 weeks old.
I hadn't been prepared for the reality of it. I had a frequently feeding baby, who was feeding on demand, and I was horribly, horribly tired (baby never went more than 2 hours between feeds at night, and mostly not that). I had rages about 'not being allowed' to make myself a cup of tea, have a shower, be able to leave the house, etc etc. All I did was breastfeed.
I decided to persist to 6 weeks, and thereafter it all got better. Not overnight, but fairly fast.
It was all a balancing act. On the one hand, I was very tired and emotional. On the other hand, I knew formula was an inferior form of nutrition, didn't give my baby the same immunological protection, and was likely to increase the likelihood of DS getting DP's athsma, exczema and other allergies. If I was feeling like 'all I did was breastfeed' at that point, then I had to recognise that that was all my newborn baby wanted and needed to do. Given that I was physically capable of BF-ing, even if I was finding it hard going, was it fair to ask him to pay the price for me stopping?
The answer for me was no.
If I genuinely felt I was heading for a nervous breakdown (and twice I had to think very hard about whether that was likely), I would have thought about whether giving myself a break with formula would work. But I was just very, very tired and overwhelmed. I clung to the idea that it would get better, and it did.
I'm not advocating a 'persist at all costs' approach to breastfeeding. I don't think I shared your wife's BF-ing problems. And I genuinely believe there are situations, social as well as medical, where using formula in some way is a good option.
But in answer to some of your questions -
No, lack of sleep isn't any good for anyone. It's shit. But it won't kill you. Babies, however they are fed, tend to mean you get less sleep one way or another.
Is no time to wash good? No, it's minging. But it won't kill you, it's not for long, and even I managed a wipe round with a flannel to stop me getting trenchfoot
Is not being able to find time to eat good? Your wife can find time to eat. Probably not cook a meal or eat at table, if that's what she's used to - but fruit, sandwiches, ready made salads are all healthy and easy. And people can help. A supportive partner can bring you food in a bowl, and a spoon to eat it with onehanded if you are BF-ing, like mine did. Living off snacks and ready made sandwiches for a few weeks won't kill you.
Is no routine, no structure a way for an adult to live? In the long run, no, of course not. But for the first few weeks of a baby's life, when they are so small and totally dependent on you, it won't kill you to organise your life around theirs, to give them what they need.
In all honesty, you do sound to me as though you are going through the 'angry at breastfeeding' stage, and also dealing with the shock of a new baby, and you really do have my sympathy there. It's a BIG shock to the system, and IMO, we are very unprepared for BF-ing. But this time passes.
And there's a VERY big difference between being in extremis and deciding that for all its downsides, formula can be a help for you, in the great balancing act - and wanting to believe that formula is just as good as BF-ing, and the benefits of BF are all a load of hoo-ey because it's a belief that would allow you to dismiss BF-ing.
I hope whatever happens things gets better for your wife and family.