It sounds like you're saying "pay someone to save you time if you use the time to work, but not if you use the time to relax". One of the best possible uses of money is to save you time, no matter what you use the time for.
Let us understand each other that mowing the lawn relaxes some people, and to others it elevates anxiety and brings the sense of existential dread and time rapidly slipping through our fingers in meaningless repetitive kafkian never-ending tasks required by society for arbitrary unjustified reasons instead :-).
That's the key insight and difference, and not one we can necessarily persuade each other :). My time is worth a LOT to me. I can use the time to play with my kids, be with my wife, play a video game or a musical instrument, read a book, or even doomscroll, if that's what my brain needs at the time. These are things that bring me joy, and mowing the lawn doesn't. I spend a lot of my time doing things out of necessity that don't bring me joy. I have precious little time for things that do bring me joy. I'm not looking to optimize for things I hate.
Don't get me wrong, as I said, I DO laundry and dishes and cleaning and stupid lawn mowing (grr!) and some repairs etc (I don't even have a rumba :). I used to do more car maintenance myself. But when I do bring somebody in to do the work, I do not feel guilty about it - I work my ass off doing things I'm good at and being paid for it, and in turn I sometimes pay others who are way better and more efficient at something than I am :).
Milleage may vary :).
So let's say you're playing a video game, and someone asks you to mow their lawn. How much money would they have to offer you to induce you to do so? That's the marginal dollar value of that video game over mowing their lawn.
Or let's say you're playing a video game, and you need to mow your own lawn, but you don't want to. How much would you pay someone else to mow it so that you can keep playing your game?
Of course, those two amounts would be different because you probably feel differently about mowing your own lawn than about mowing someone else's. The difference between the two should (if you're being consistent, which humans seldom are) be how much would someone have to pay you to mow their lawn instead of your own.
No, of course not. It would be really bizarre to attach a dollar value to something that will not make or cost me money. I value my free time, but I'm not going to pretend there is some concrete dollar value when there is none.
Trying to fix it now. But the time I've lost already, this time is gone.