Since I have not found any post about installing the K5 on the current Tiger 1200 I thought I would share my way of installing it. I hope the photos and text are clear enough if anybody wants to do it similarly to me, otherwise feel free to post questions.
Power
For switched power I decided to go with the rear 12V Accessory plug, that is under the pillion seat. I won't ever use that, so it was an obvious choice. It's also switched with the ignition, unlike the Usb Charger and front 12V plug, which are switched on only if the engine is running. I don't have a picture of the install, but just connect the power unit to the battery and the yellow cable to the positiv (red) lead of the 12V plug.
GPS
The Triumph has a very practical cubby that perfectly fits the GPS unit behind the rear seat.

Only warning from me: the cable was barely long enough when installed like this, so make sure you don't leave any slack.
Rear cam
I have the original Triumph top box installed, so if you don't have that, you need to find another way.
I drilled a 6mm how into the plastic of the top box base plate and attached the camera to that.

I then cut a groove into the same cubby where I placed the GPS and fed the cable through that.

Front camera
Since I found no good place to attach the camera where a bolt was already installed, I instead drilled a hole into the beak and attached the camera there.

I then was able to cleanly hide all connectors in the beak itself and even have access to the SD card door without uninstalling the camera.
Remote
The remote is installed on the fluid container for the clutch. The cable then easily reached the beak, where the camera is installed.

Cables
I removed the right side fairing in order to feed the cables along the tank, where the original cable tree is also installed. I'm afraid I don't have any photos of that, but there are YouTube videos on how to uninstall the fairing, so look those up for more info.
Where necessary I bunched up left over cable near the battery, and also installed the microphone there.
Conclusion
I am very happy with how the cameras are installed, the mounts are very solid and the cameras have full vision.
Even if I wanted to uninstall the cameras later, the damage to fairings etc. would be minor. The only possible negativ point is, that the cameras are very obvious, but I see that as a positive, maybe even a thief deterrent.
I just had the bike standing for a couple of weeks while the temperature was below freezing, and it started right up, so no, I don't have that problem. Are you sure the yellow wire of the power module is connected to a switched power?
Are you getting battery drain when your bike sits for some days? I have a Tiger 1200, 2020 model and my K5 drains the battery when parked and if I don't ride for a few days, I have to jump the battery. A total pain.
The setup on my Tiger 1200 GT Pro is very similar to yours. One slight difference is I mounted the rear camera on the rear indicator, less exposed cables. The only issue is where the camera is mounted on the beak, underneath the headlamp I find removing the SD card is rather tricky/fidely.
Nicely done. Thanks for sharing your photos. Other Triumph users can use this if they want to mount their Innovv camera.
Nice installation! Thanks for sharing!