No, what is odd is that you believe the human daily rythm should be centered around 12.00. The choice of solar zenith as the point of the middle of the day was done for purpose of time keeping. Later came time-zone as trade, high speed travel and fast communication made local time unmanageable.
That second bit should be revisited now that there are 3 billion smartphones in use.
I think we could get rid of time zones altogether and use mean solar time instead (or even apparent solar time). The math is trivial for modern, gps-equipped smart- phones/watches to perform on-the-fly and it would make sundials relevant again. Most people in temperate lattitudes wouldn't be more than 20 minutes off from typical daily activities (and only if traveling due west or east to get to them), and it would encourage knowledge of the sciences by having a closer relationship between the time and the track of sun (a shadow at apparent noon would always point north, everywhere), and sunrise would be the same time for everyone at the same lattitude.
Businesses could then specify open hours in Time + Lattitude (to whatever accuracy they need, but even just whole number latitudes would already be within 4 minutes), or in GMT + exact offset, or just use reference latitudes (i.e. the latitude directly under the sun at the time they open, etc.). I'd probably go with time+latitude as people who live nearby could ignore the latitude component.