couple mistakes there......
the dynavin's reverse wire is green....
ON THE CAMERA WE SELL the red wires at both ends are on the same circuit, the wire is provided as a convenience so you dont have tor run an extra wire (as you mention in your post).
The red wire at the camera end connects to the reverse light circuit (usually at the reverse light).
The red wire at the dash end connects to the dynavins reverse wire.