Seriously?
It significantly lighter without the cover. And is charging every few weeks really so burdensome that you'll pay an additional $170 (compared to the Paperwhite) to avoid it?
That figure really bears repeating: ONE HUNDRED AND SEVENTY DOLLARS more. They're charging over twice the price of the Paperwhite, for a device with the same screen size, same resolution, same connectivity, etc.
Madness.