It can be enough of a savings to do many things yourself, IF you start young, because you need the tools. Buying tools for just a project or 2, or even a few, probably isn't worth it. But when you amortize the cost of those tools over their useful lifespan, and you use them enough to justify the cost, then yeah, definitely.
I'm in carpentry, so I have those tools. But I also do automotive-type work on my own shit too. Some of the tools I own, transfer to automotive use, like having a cordless impact driver. I use that tool almost daily, but I also just used it to replace a bumper on my truck. And these days, being able to order parts from the convenience of your desk..., priceless. (Of course shopping going more and more in that direction is a double-edge sword, since it runs 'brick-&-mortar' stores out of business, so it becomes harder and harder to "try before you buy," like, GUITARS!!
But I digress.
DIY: you don't have the costs that a business does: Insurance (many types), overhead, taxes, and of course, labor costs. And keep in mind, your time is not free. But if you save $200 doing something yourself, you just have to figure out, based on how many hours it takes you, if it's worth it to you. And it doesn't always simply come down to the money aspect, because if it's something you just want to do yourself, because you enjoy it, then maybe the savings won't really factor in to your decision to DIY.
But make no mistake, these shows on TV make it all look easy, and hardly ever show you all the details and little tips, that if you don't know them, could really make a DIY project a lot harder than you initially think, especially if you are either not very handy to begin with, or have very little experience. And YT videos are hit or miss. Some people know what they're doing, but are horrible at explaining things, some talk too damn much, and some really have no business at all making a "how-to" video in the first place. And then, there are the good ones. But in order to tell them apart, you need to know a certain amount about the subject to begin with, yourself, I feel.