Yes, as soon as I could afford it. Both of us work full time.
Ask him how much time per week he thinks it would take to do all the housework needed to a standard where you could relax? When I became the breadwinner and my husband was at home full-time with one primary school aged child, he said he thought 1 hour a day should be more than enough. For everything (cleaning, tidying, laundry, food plan shop prep and cook, the lot, plus he hadnt even considered anything to do with caring for ds). I have rarely been so homicidally angry.
I don't brew my own wine and beer, raise my own livestock, grow wheat and grind flour to make bread and pasta, or grow flax to weave into linen. I do grow a few fruits and vegetables but not enough to feed us all the time - other people's work feeds into all these things. We also pay for clean floors and surfaces.
Both dp and I do a fair bit of cleaning, do the laundry etc but the cleaner means we are doing maintenance cleaning, not starting from scratch.
Interestingly, teenage ds became much tidier once we had a cleaner. He had to tidy up each week for them, then really liked having an organised bedroom, and although he's not the tidiest, he has remained more organised ever since.
It makes me so furious when people refuse something that their partners tell them would make such a significant difference to their lives. Try again, seriously.