Earlier quoted context omitted.
> mechanical watches are still better at measuring time What do you mean by that? In what way are they better at measuring time?
Quartz watches "tick" only once per second. Mechanical watches move generally 6ish times a second, causing a perpetual movement. This makes them better for measuring things in fractions of seconds than a quartz movement.
That isn't generally true.
Here's an analog quartz chronograph that has 1/10 second dial: https://youtu.be/mPP3EeWdJsA?t=97
If you are talking about a sweep second hand, there are plenty of quartz movements that do that.
If you go for digital quartz, you can get 1/100 second accuracy in a $10 watch.
The longer you time something, the worse the mechanical watch is going to be. Most of them gain or lose several seconds every day.
Zenith is the only manufacturer that I know does significantly better than this, but that particular movement is pretty rare and extraordinarily expensive.