I think a lot of the analogies where measuring creates a better product are not on point It really is an it depends on what you are doing.

My father tuned pianos with a tuning fork and his ear. His pianos were in tune. I learned to tune a piano from him. Now most all piano tuners tune from digital tuning machine which shows the frequency. It is faster but no better if you trained your ear. So, in this case "measuring" helps.

I played violin. You tuned the A string to a fork or known pitch at 440hz and used your ear to tune the other strings. Most players still tune all but the A using their ear. Perfect 5ths are easy to hear and you can check using harmonics. It isn't going to be more in tune by checking the frequency of the other strings using a machine. However, I understand some beginner violinists do use a digital tuner. I think they are not doing their ears a favor. I also see more and more guitar players tuning with digital tuners. I still only tune one string by frequency and then use the ear for the rest. I am not going to be more in tune by checking my work as my ear and experience gets me where I need to be quickly.