My mother in law brought up three children (one of them disabled) with an alcoholic husband, my dhs stepdad.
Of course, with alcoholism, he could not hold down any job, so like in your family, dad was at home (drinking) and looking after the kids, and mum was working. Always worried about what happened at home. Everything was fine on the surface. She was frantically looking for his stash, emptying it out into the sink. But of course, this just meant that even more of her hard earned cash went into drink, for as soon as she had emptied a bottle, he would buy more. In the end she gave up. In the end his liver gave up, and she was widowed at 50.
Have you ever thought into the future, you are keeping and enabling an alcoholic. You are okaying his behaviour, supporting him financially. Your children grow up damaged, because trust me they will cotton on, and be ashamed of their dad, their home, their mum for her inability to act. Angry at their mum for a ruined childhood, and later on angry because of their OWN screwed up views upon adulthood, responsibility, and not least their view on family dynamics. I know, because my father did also have problems with alcohol at one point.
And the neighbours will cotton on, start making excuses, and say about your husband "well, he is an alcoholic, of course, what can you expect from that family....." because neighbours talk.
And when your oldest start reception and wants to bring home playdates, and the other mums are not forthcoming, thinking "can't let my child go and play at the home of an alcoholic".
This choice you are making about doing sod all, nothing, nada, zilch with the situation, is a choice you are making for your children, and it is not fair on them. You are choosing for your children to live with alcoholism. Is that the best they can get?
Your husband may well recover, but not as long as you are letting him ruin his and your children's lives. Not as long as you are enabling his behaviour, because he has no reason to stop. Life is comfortable for him now. Make it uncomfortable. Serve him divorce papers, and kick him out. That, if anything, might spur him into action.