In media library, item title below in fact does not behave like a part of library item: in admin page view, hovering over an item highlights it with a frame, and clicking on it checks a checkbox on this item; in media library field widget, item is draggable. But in both cases, this functionality is lost when cursor hovers over the item's title, which is visually and structurally a part of an item.
We should fix that so there is no "blind zone" over item's title. And overall javascript cleanup is needed.