Holy cow! That's an impressively complete installation kit! It includes two each of the 4 common styles of fuse taps plus a voltage probe.
The power adapter box itself has switches that control both the low voltage cutoff level and if it should use the parking mode:
Unfortunately I could not find anywhere that describes what this power adapter actually does. This is an interesting paragraph on the Rove power adapter hardware kit website:
So I'm thinking that what is really going on here is that this power adapter is simply a 5V voltage regulator with an adjustable low input voltage cutoff and a switch on the "constant on" power wire.
I looked at the manual for your Rove R2-4K camera and found that it only has one power input, via it's USB-C input. So the CAMERA only has a single input power wire. When power is applied to that wire, the camera is on. When power is removed, the camera stops recording after a couple seconds.
The camera also features a "Motion Detection" mode where it will only record when it detects motion. On page 39, the manual specifically says to NOT use this mode while driving because the algorithm likely won't work correctly if the entire scene is moving as it relies on some portions of the frame to be steady in order to determine motion. Interestingly, page 54 of the manual also says that 99% of their customers do not use the motion detection feature.
The camera also features a "Parking Mode" where it uses an internal 3-axis accelerometer to determine if your vehicle was bumped. If it detects a bump, the camera will automatically start recording for 1 minute using it's internal battery - no external power required. The manual states that:
So it sounds like you should get at least a couple "bump" events at the highest resolution.
What is NOT clear at all is how the camera will automatically enter "parking mode" if it is being fed by a constant on power adapter. I didn't see anything that talked about it automatically going to sleep after some time of no motion. I would not want to have to mess with any settings every time I drive, so I don't see how "always on" is a good option here.
If I were you, I would want to get a very good handle on how this power adapter thing works with the camera before permanently installing it. I would temporarily clip it to any old 12V battery or power supply and make sure it acts like I want. My guess is that it will NOT act like you want. It
appears to always send constant power to your dash cam, independent of if your Ridgeline is running. The camera already has built-in bump detection, so why does it need constant power?
Personally, after reading all of this, I would absolutely return the power adapter.
If you have an auto-dimming rear view mirror, then I would instead buy a Dongar rear view mirror power adapter (which I did). Installing a dash cam is simply unplugging the Ridgeline connector behind the mirror, plugging in the Dongar to the mirror, plugging the Ridgeline harness back into the Dongar, and then plugging your camera into the Dongar USB port via the provided 3" long USB-C cable. Yes, the USB cable is only like 3 INCHES long because your camera is right next to your rear view mirror. It literally takes 2 minutes to install any USB powered dash cam with a Dongar power adapter; and it's 100% plug-and-play.
If you do not have available power up at your rear view mirror, then you'll have to run a long cable down the A pillar. But the camera already comes with a 12' long USB-A to USB-C cable (which should be PLENTY of cable), and a 12V-to-USB-A power adapter. If you want to completely hide the cable, then I would just install a USB-A power adapter under the dash. Like this: