I feel like trying to switch to this would cause more problems than it would solve. If you switch to this time system, what do you do about all the other units of measure that include a time component? Either everything has to change, or you have to start using two different time systems.
Dates? Swatch replaces seconds, minutes, and hours with .beats. Metres per second (used in scientific contexts), minutes per kilometre (used by runners), and kilometres per hour (used in most other contexts) would all be unusable under Swatch time.