I am an inspector for Northrop Grumman and those responsible for calibrating the instruments used to measure extremely tight tolerances say that analogue instruments are more accurate than digital.
In fact, as a rule...we do not trust digital tools for measuring anything more than a three place decimal. When it comes to 10 thousand place decimals, we only will use anologue measuring tools.
Digitals are too unstable.
It was rare enough 20 years ago. The same probably goes for being able to perform interpolation with tables of logarithms. My high school chemistry teacher insisted we learn, but I never had a need for a slide rule, calculators were accepted by then. A lot of things are obsolete now. For example, my ex-wife was the only Japanese I knew who could handwrite all 2000 of the common Kanji.
Sadly that is true. It is also true that in engineering that can be dangerous. The first priority in mathematics is to actually know WHY 2+2=4. To accept a computation from a calculator or a super computer on face value is not a good thing.
Analog will continue to be the standard amoung higher end watches and clocks for decades.
Imagine a guy dressed to the teeth. Quality wool suit, silk tie, starched white shirt, and a gold plated DIGITAL watch? Somehow it just doesn't fit in.
Same with nicer desk or wall clocks (the ones that run from $100 to $1000 or more.) Somehow a $1000 digital clock just doesn't cut it.
There's a certain class and elegance about analog clocks that just can not be attained by digital clocks.
Hey, polyester is cheaper and lasts longer than wool, but when was the last time you saw someone wearing a polyester suit?