Why are you so hung up on aligning solar noon with with 12:00 PM? People care more about when the sun rises and when the sun sets. Nobody, besides you, cares about when the sun is at the highest position in the sky.
Having the sunrise always at 8 and the sunset at 20 in the summer and 16 in the winter makes things harder than having sunrise at 6 and sunset at 18 in the summer and sunrise at 8 and sunset at 16. We split the difference of sunlight per season.