Unlikely.
I could clean instead of spending $1/hour... or I could spend $1/hour and then use that extra free time figuring out how to improve my skills (and thus earning potential) or find a better job that pays more (thus better leveraging my existing earning potential) or even just to recharge (and thus be able to work harder - earning future raises in the process as my hard work is noticed.) These aren't as direct and immediate as literally being able to immediately work more hours as a freelance contractor, but are no less invalid a means of improving my profits in the long run, even if it means more short term debt.
I'm certain I could drum up extra work or self improvement for myself that has a higher return on investment than $1/hour now. I very strongly suspect most people who earn $20/hour or more can. Borrow a mower! Offer to clean other people's houses for $2/hour! Then, after an hour of cleaning someone else's house instead of your own, you'll be out the same amount of work but have pocketed an extra $1 in the process!
A valid point is raised here: Just because you've profited in extra free time, doesn't mean you'll convert said free time into additional $$$ at your job's hourly rate. You might earn less. However, you might earn more over the long term, by investing in your future in a way that results in compounding profits. A broke college student might reasonably still end up spending $1/hour on a cleaner, so they can have more time to study! Even if that means more debt, and even if their current unpaid internship pays them $0/hour!
However if you work a salaried job, saving an hour on cleaning won't necessarily increase your income by $salary/2080. Maybe if I spent that time working I'd get a bonus or something, but the hours have diminishing returns.
On the other hand, I used to work at a job where I could choose to work overtime, so it was true to say that if I paid $X more in monthly rent to shorten my daily commute by Z minutes I could treat it as an "investment" by working an extra Z minutes per day.
Your time is worth what you will pay for it as well as what other people will pay for it. Hiring house cleaners or dining out lets me buy time more cheaply than buying it by sacrificing salary (because I would have to take a more than 20% pay cut to get a 4-day week).
Even from a theoretical microeconomics viewpoint, that's an entirely rational decision. Homo economicus maximizes utility, not money.
If you cook several meals in one session, the average time per meal is much lower, and becomes faster than spending time to scroll through an app placing an order for a meal every time you want to eat.
I see people talking about "what's your time worth" on hobby forums all the f-ing time. At this point I just assume they're justifying laziness because that's what it is far more often than not.
Interestingly enough, you pretty much never see people who are self employed and could be booking billable hours instead of doing other things invoking the "value of my time" argument for doing or not doing things.
For very long chunks of time it could still make sense to me if I was to pick up a sidegig, like if I could save 10h/week somehow. But saving 1-2h/week, if you don't make money that time, is not worth it (economically!). You might still hate the task or it has a high risk so you decide to hire someone to do it for you, that's fine. But no more "it's less than my rate", if I'm not freelancing I don't have a rate, period.
This misleads people into thinking that they're actually saving money by hiring house cleaners or dining out to save time.
The mistake is that this only holds true in very narrow situations. If you're an hourly freelancer with more work in your queue than hours in the day, it can make sense to order DoorDash so you can continue working billable hours. The alternative is to stop working, prepare food, and lose out on that marginal income.
Meanwhile, most salaried people or hourly workers on fixed schedules aren't actually saving any money this way because they were never giving up billable hours in the first place.
A more accurate way to read this story is "How much are people willing to pay to save time?"