Considering how wide time zones are that is pretty much impossible to standardize on regardless of which clock you pick. Then it becomes a question of which cities you are going to prioritize, and I doubt any politician wants to start that conversation.
Plus, "solar noon" itself shifts by ~20 mins throughout the year due to the Earth's orbit.
>Considering how wide time zones are that is pretty much impossible to standardize on regardless of which clock you pick
With standard time you will still have the rough center of the time zone match with solar time with about +/- 30 minutes give or take on the sides. With DST it may well happen that no part of the timezone actually matches solar time since everything is essentially shifted 1 hour to the East.
Plus, "solar noon" itself shifts by ~20 mins throughout the year due to the Earth's orbit.