The fact that you give a preference to change something here which you give as an example for something that shouldn't be changed because it would be problematic is deeply ironic to me.
Also, again, I don't really see the problem with changing the date in the middle of the day. It's virtually the same as changing it at 00:00 or 04:00, you change the date once every 24 hours. Right now you have a situation where one persons 3rd of the month could be another persons 2nd or 4th, depending on where on the globe they are. That's not really ideal either, especially for that call scheduling example by the GP.