Why would anyone care about "almost whole imperial values"?
Not saying A4's not good. Just acknowledging that "nice round numbers" are convenient sometimes. Standards that use US-traditional measurements seem to do better at that for some reason.
Half a 20x30 sheet is 15x20, so the ratio has changed from 2:3 to 3:4.
1:sqrt(2) is used to maintain the ratio. The round number is at the start, with the area of A0 being 1m².
So what? The only thing I ever try to print multiple to a sheet is slides, and those are a different shape entirely.
(where "better" is actually "really annoying")