It's absolutely necessary. You need accurate means to measure weights, lengths, pressure, etc., that are standard and repeatable or you can't make like 90% of the stuff you need to make to have this uplift happen.
Something as simple as a nut and bolt need accurate diameters on their hole and shaft respectively and the threads have to match. Electronics, even simple electricity, requires this. You have to know that the voltage, amperage, and resistance of a simple circuit are accurately measured. The size and composition of something as basic as a wire determines its ampacity. What you are using as insulation determines how much voltage can be used before it leaks through the insulation.
Making helical or involute gears, not to mention bearings and cams require accurate instruments and measuring devices to ensure they will work.
Making basic plastics requires invention of not just the chemical industry and producing means to make large quantities of various chemicals but getting a petroleum industry operating as two basic requirements.
Jerry Pournelle's series Janissaries outlines some of this, but he doesn't go into nearly enough detail and he got many of his technological timelines wrong.
Information alone won't make this happen. You have to turn that knowledge into working systems and components that can produce results.
If you know what is possible ahead of time, you save time in experimentation.