I’m all digital for sound but only wear mechanical watches -- Rolex, Blancpain, IWC, Zenith and Girard Perregaux (one of each). The hand built mechanisims of the watches match, in my mind, the boutique construction of the digital electronics in my system.
All the same, when I need to know the exact time, I check my phone -- but my watches are all pretty accurate over the course of a day and sometimes much longer, depending on maintenance.