That’s not how time zones work, the sun will be directly overhead at a different time depending on where you are within the time zone. Also solar noon happens at a different time of day throughout the year anyway. Check out an analemma diagram for a good illustration of that.
On this map (in standard time), the red areas are where the sun rises and sets later than noon, and green are places where it sets earlier (both on average). DST shifts the map red. So if you’re in a green zone, DST is going to be closer to solar time.
That’s not how time zones work, the sun will be directly overhead at a different time depending on where you are within the time zone. Also solar noon happens at a different time of day throughout the year anyway. Check out an analemma diagram for a good illustration of that.
On this map (in standard time), the red areas are where the sun rises and sets later than noon, and green are places where it sets earlier (both on average). DST shifts the map red. So if you’re in a green zone, DST is going to be closer to solar time.
Full map: https://web.archive.org/web/20140107014651/http://i0.wp.com/poisson.phc.unipi.it/~maggiolo/wp-content/uploads/2014/01/SolarTimeVsStandardTime.png
Blog post this is from: https://web.archive.org/web/20140110094028/poisson.phc.unipi.it/~maggiolo/index.php/2014/01/how-much-is-time-wrong-around-the-world/
This was helpful and informative but has only radicalized me further: death to time zones