Look again. It's hard to see in my photo, but the hood projects about 2.5 inches above the screen on the top and both sides. Not a tunnel like the Hoodman, but more than adequate to provide shade, and less pricey.
The RC2 has a touch screen.
A smooth, planar surface like the display screen on a controller is going to be reflective. Thus, depending on its orientation and whether or not it's shielded in some manner, you may be obliged to look at a...
There are two issues: 1) concerns about water leaking into the optical train or camera mechanisms and causing damage, and 2) water drops forming on the cover and degrading image quality.
It might be possible to seal some, but not all...