I didn't know about the web view. At least the search area stays visible.
> full screen lyrics view
Another gripe: In the app, when using the full screen player (there is also just a fullscreen mode) the lyrics can often be unreadable depending on the background colours that display. Also, you can't change the font size.
It also has some features that the MacOS one doesn't have like, a full screen lyrics view with some nice WebGL animations.