To my knowlege the rear camera on that BlackVue model is a HD camera ( 720P )
This mean that the signal that come from it and to the front unit is a digital signal, and not a analog NTSC or PAL signal witch is what your headunit in the car accept.
This should however be possibel with future dual cam models ( me look at jokiin ) so when i car is put in REV the display on the DVR display the rear cam footage, or the footage that come via the AV out on the DVR is from the rear cam when in reverse.
The latter will proberly be prefered as the screen on the DVR is a lot smaller than what is on car headunits.
You can get a cheap NTSC ( witch is what is used in the US ) reverse cam for allmost no mony on fleabay, but i agree its "stupid" to have 2 cams mounted in the rear window.
Some reverse cams are allso waterproof and for mounting flush in your bumper, one of those will not clutter your rear window more than it is allready.
Somthing like this witch is far from the cheapest cam on fleabay
https://www.ebay.co.uk/itm/261050835380
PS. be sure to draw power to the camera from the reverse lights otherwise the cam is allways on and your headunit will think you are in reverse all the time as it detect the video signal and change to the reverse camera automatically. ( atleast my cheap ass dual din headunit do )