Mechanical watches are not logical, but don't have to be. Some of us have direct memories of the world before quartz (1968) when almost all watches were mechanical are drawn to the nostalgia. Others are attracted to the idea and history of a precision (relatively) timepiece powered by wound springs and tiny gears, not batteries and electronics. Some just like the snob appeal of owning something most will never have either because of cost or ignorance.
Digital and Quartz timepieces share the similar problems of being so accurate, common and inexpensive that few can see the value of spending hundreds or even thousands of dollars on a watch when your phone or a Timex works fine. If you love watches their are only a few high end quartz to be exited about.