The argument that doesn't work for me usually goes something like, "well I make $70 per hour at my job, so it makes fiscal sense for me to hire a housekeeper at $20 per hour rather than waste my own $70 per hour time doing it." My argument is that it's only $70 per hour time if you would actually have spent it at work. Your time isn't more fiscally valuable than the cleaning person's, if you're sitting on the couch.
I do think you can hit a point where you value your leisure time over doing housework etc.
I can't really quantify my per-hour, but it is the case that I can get paid for literally every hour of my time, if I want to (year end bonuses are based on billable hours, and there's always more work if I want it, like pro bono). The hourly rate on the year-end bonus really isn't that great, especially once taxes are accounted for, so most people don't shoot for 3k+ years for the bonus cash (those folks are normally trying for the partnership), but it's more than nominal, and probably more than a cleaning service.
Do I work every hour? No. Obviously not; I am, after all, posting on a blog, and I spend time playing video games and doing other frivolous things. But I value that leisure time at some unquantifiable amount $X. It really is a decision on whether $X>whatever it costs me to outsource something.
ETA: At current I do not value $X more than it would cost to hire a cleaner, so I don't outsource it except for once or twice a year when I'm getting the place cleaned up after spouse has had a stint overseas, because spouse had a stint overseas in the third world, I want the place to be spotless precisely when spouse gets home (i.e., I want the cleaning done the day before), and there's always a risk that I will have to travel for work or otherwise be unable to swing several hours of cleaning at any point in the week before the spouse gets home. I also do not value $X over cooking rather than ordering out, at least not anymore, but that's more because of my waistline than the money involved.