On macOS 13.5, entering the search shows no obvious way to end/return. However I just pressed Enter and that took me back, which was unexpected. So it works, just oddly mapped I think. On iOS the search+cancel is just fine.
For the sections, I noticed that but still find it odd that the home library view doesn't actually show me... the full library. You have to discover pieces by composer which I missed at first. BTW, there is a typo on both mac/iOS versions where the header is missing an r in "Lib[*r]ary".