It's not just because they're synergistic.
I say "morning" but 11-14 is basically my morning and I'm in Northern Europe. But yeah, probably best to take it dawn than dusk. And research seems to agree.
During natural day–night rhythms, serum vitamin D3 (cholecalciferol) increases rapidly as a result of UVB exposure [32], which occurs mostly between 11:00 and 15:00 h at higher latitudes (Europe, USA) since UVB is largely absent before and after these times due to the large solar zenith angle [9]. Also after supplement intake, serum cholecalciferol starts rising in a similar (rapid) fashion as after UVB exposure [32]. It is not unlikely that increases in cholecalciferol levels during the time window in which UVB exposure naturally occurs is most optimal for subsequent processing of vitamin D metabolites in the liver and kidneys. Especially because organ metabolism (i.e., nutrient uptake and processing in the liver and kidneys) is also regulated by circadian clocks.
https://www.sciencedirect.com/science/article/pii/S1087079220301222
But yeah "antidote" is hyperbole, my bad. "Further study is needed."