Earlier quoted context omitted.
Definitely not. It’s common in places where the weather actually changes due to things other than the time of day, i.e. where cold systems move in. For example, look at the forecasts in the Chicago area where tomorrow (March 23) it’s going to be a fair bit colder at noon than at 1am. This is not at all uncommon, and is in fact precisely why it’s important to check the weather forecast in the morning on normal days wh…
Okay, so Antarctica, Chicago, and Cleveland. But the broader point is that the utility of an overnight temperature is that it happens while most people are sleeping, and thus unable to respond to it. Fluctuations while one is awake can be coped with. IMHO, the most reasonable intuitive measures would be: overnight low, rain during the midnight-to-midnight day
And the entire state of Colorado. It is not that uncommon for our daily high to be at 12am, or for the temperature to drop 30F between a midday high and dusk as a front moves in.
These aren't conditions you can describe with just two temperature points, no matter where they are anchored.
For overnight temperatures, many people just want badging to know if there is a frost/freeze condition - e.g., is there a weather condition they need to deal with while they would otherwise be sleeping.