No, they don't. No one cares what position the sun is in at noon. Noon is "the middle of the workday", or "lunchtime", neither of which has anything to do with the position of the sun in the sky.

Solar noon is an outdated concept that is completely meaningless to the vast majority of the modern world. There's no reason we should tie our modern workday to solar noon any more than we should tie our software launches to the lunar cycle or our bathing schedule to the tides.