At the point of September Equinox the sun is illuminating half of the earth.
Solar Time is 24 Hours. One Solar Day is 24 Hours.
After 365.24 Solar Days the earth has returned to the starting point on the earth's orbit around the sun, yet illuminated differently. 24 Hour Solar Clock is misaligned. Solar Noon is no longer at 12PM in Solar Time.
Can't be explained by the 20 minute Sidreal Year difference.
Big Problem.
Put this 20-minute sidereal year difference out of your head. That's not where the answer lies.
Now look at the statement you made that I bolded.
It's no longer solar noon at the point of equinox from the previous solar year. Why? Because that came earlier than the new equinox. That solar noon on that meridian, and that point on the equator, came 365 solar days after the previous one.
But the solar year is ~6 hours longer than 365 solar days.
The new equinox is occurring at a new meridian where it's solar noon, on a point on the equator about a quarter of a turn west from the previous year's point.
The 24 hour solar clock is "misaligned" from the 365.24 solar day solar year. I guess, yes, though I think "misaligned" sounds like you think it shouldn't be this way. But it is, so instead of "misaligned," I'd call it aligned 365.24 solar days to 1 solar year. There's no reason why it has to be 365:1. It's not a problem. It's just a different ratio. One that involves a fraction of the solar day instead of a whole number.
I've yet to understand why that's an issue for you.