Until WebViews or web apps can offer the same buttery smooth scrolling and responsiveness as native apps, until they don't immediately look and feel out of place from the rest of my environment, until they not drain my CPU and battery, until they can offer standard menus and seamlessly interface with all the features of my operating system, like notifications, a unique icon in the Dock/Taskbar/app switcher, and OS X services and the like, native is the way to go.
Most of the purported advantages of web views in these arguments read like the excuses of lazy developers (or small teams with limited time), unwilling to acquire expertise in each of the major OS platforms and [re]learn all their APIs and GUIs and their quirks. It's understandable, but it definitely results in a diluted experience for the user.