It's a silly & outdated argument.
Dh & I both work full-time. We both do domestic chores, which neither of us mind, as such, it's just that they take up a disproportionate amount of weekend & evening time.
We have 4 occasional cleaners - they're a band, & originally dh produced an album for them. Since they're all penniless students, they paid in cleaning/babysitting hours.
The album's now finished, but we have one skint muso turn up each week to do a few hours cleaning, which is now paid. They agree between themselves who's most in need of the cash!
& 3 of them are blokes.
So I'll plead guilty to exploiting impoverished students, if you like. Although I did cleaning amongst other McJobs myself when younger, as did dh, & both of us remember it as not as much fun as barwork, but far pleasanter than silver service, telesales, or fruit picking.
Come to think of it, the one girl in the band is a final year medical student whose projected lifetime earnings will certainly eclipse mine.
So no, I don't think domestic cleaning belongs in a special, exploitative category in this day & age, any more than paying someone else to fix your car/mind your kids/replace a burst pipe does.