.beat time or Swatch Internet Time is way better.
Of course to your actual point and everybody else that brings that same one up. You do not need to wake up at 8am every day ... If the sun actually rises at 1400 then feel free to start your day at 1500. I'm not sure what why people keep arguing as-if they can't figure out a time besides 8am to wake up; look at the world around you, so many people wake up at wildly different times in a timezone.
Dividing one day into just 1000 units is way less precise unless one uses decimals, in which case it's just plain inconvenient.
If you absolutely need more precision (accurate timestamping) then decimals are available.