Yes, it does. I remember that feeling so clearly. I was exceptionally lucky in that I poured out to my mum one day that I wanted to leave and from that day forward she kept me focused and working on it even when I was having a "but he's being so normal" day. I remember feeling this total disconnect and like the life I was living was someone else's life, one day when we were going to the council offices. I remember explaining it like, if you lived in a war zone, and you were constantly in danger of a bomb falling on your house and killing you all, or walking on a mine, or your children doing so, or being gassed in the night while you slept, and this was the case for years and years, you couldn't constantly feel that fear even though the danger was constantly there. It would destroy you and paralyse you and leave you unable to actually do anything. And while all this is happening, you still have to cook, and go shopping, and feed the cat, and get the children to school and help them with their homework. And you would chat to your elderly neighbour and watch TV and do your usual hobby in the evenings, and life would go on as normal, except that there is this big awful frightening danger happening all the time.
It's the same when you're in an abusive relationship - you can be aware of the danger (emotional and physical - and there IS always physical danger with someone who has rages) objectively when you think about it or talk to someone about it or write it down, but day to day you have to normalise it to get through the normal stuff, feeding the baby, remembering to buy food, washing, meeting friends. Otherwise you're just paralysed from doing anything, and you can't just stop doing this stuff. The baby needs feeding, the clothes need washing, life goes on. The defence mechanism that enables you to live day to day prevents you from being able to act.
If you feel like this the best thing to do is plan your exit in fantasy - get all the building blocks together so that when you need to go, you can go. But also keep being aware of it, keep noticing the little things (look at red flag lists - this helps, as there will be a lot going on even during these "good" times which you aren't aware of, e.g. him always choosing what you watch on TV, feeling like you have to go to bed at the same time/different time to him, etc) talk on mumsnet or to anybody else who "gets it" - you will feel your mindset start to change.
Make an emergency plan first - make sure that your important documents are all in one place, back up important photos online, know where your nearest police station, council housing office, phone box etc are. Memorise Women's Aid's phone number or save it in your phone under an innocuous name like "Jackie". Make sure your phone always has credit and charge and try to keep it on your person. Keep your changing bag stocked with essentials like nappies, change of clothes for DC, formula cartons, snacks (if necessary), cash, bank cards, spare phone charger, etc. It's very unlikely you'd have to leave in a hurry but just in case.
Other than that, look up prices of rental properties in your area, and/or information about how you can get him out of your house, including finding out how much it would cost to change the locks, look up your benefit entitlements as a single parent, start looking and imagining in fantasy what your life could be like. Do the routine of leaving/kicking him out in your head so that you know the steps even if you never really think you will have to or want to do it. Protect yourself - delete mumsnet or at least this thread from your browsing history, or use "private browsing" to access it. Always sign out of mumsnet, emails etc when you stop using the computer.
You don't have to make a concrete plan of when you are leaving. But making a plan to leave helps you to realise that you can do something about your situation. You can't stop the war, you can seek refuge somewhere else, or make it go away (with help). Likely the thing that makes you finally say "Enough" will be something relatively minor. Big things are too easy to smooth over and say "Oh, it doesn't matter, it's over now."
I believe in you, we all do. You can make a better life for yourself and your DC.