You would probably far rather have a DH who was there!
I wouldn’t be able to deal with this. I have both worked silly hours myself (and burnt out) and dated/lived with men who do (pre DC). Both were no way to live. Most people working vv long hours don’t take care of themselves (sleep, diet, exercise) and health and relationships suffer.
There are virtually no men with DC who would facilitate a wife with your H’s hours and behaviours. It’s sexist that women are expected to do so.
A particular issue seems to be that your H isn’t making much effort to be a good parent and partner when he’s home, or trying to change what he can at work, eg not working every weekend. He’s not seeking to “make it up to you” or seemingly appreciative that you are doing his share of parenting and domestic work, facilitating him to be a parent and work as though he had no DC, and WoH to boot!!
Agree with increasing the cleaner’s hours. And getting some good childcare to enable you to have leisure time with friends, doing things you enjoy, or DH.
You could go out regularly at weekends so that he has time in sole charge of the DC.
And go to couple’s counselling: expensive and difficult, but much less so than divorce. If he loves you he will make some changes to improve the situation. If he’s unwilling, would divorce.