I must say, there are a few pre-made ingredients you can buy which are above the quality you can make in your own home. Many good recipes need fresh ingredients in only small amounts. Which you either don't have (fresh) at home or you can only buy in quantities you cannot properly use before they loose taste. Especially if you also consider the time to make those .

This organic food store in my neighbourhood has a tomato sauce that is better than most stuff you get even in decent restaurants.

It all depends on the quality, of course.

On the other hand, when the recipe says "use the pre-mixed Dr. Mario's spicy spice" and "use pre-made PhD Luigi dough" , that kind of recipe is freaking useless in 99% of the world, because there is no Dr. Mario spice here.
Btw. and none of pre-made pizza dough I bought anywhere was better than that made by myself :P

And if you have a proper recipe, you may use pre-made ingredients if you want, but it would be nice to know how to do something on your own. And it's pretty damn hard lately, because like 80% of the recipes on the web/youtube use only pre-made stuff.

I use a Ciabatta bread mixture as basis for my dough and then add a few secrets of my own. Top notch. Pre-made doughs are horrible, as well as "mixtures for pizza dough". Never use those, always go for Italian bread.

I think I have a cookbook that has an authentic recipe. Will ransack the shelf later tonight ;)

That's not math, that's arithmetic. If you've gotten to the point of actual math, then there isn't any inherent reason to not use a calculator for pretty much everything. You'll probably make fewer mistakes.
Indeed, I will sometimes use premade dough, but it's usually something that's a lot harder to make and less noticeable. Usually it's when I'm doing pastry and need something like wonton wrappers.