My KL didn't come with a camera. But since my aftermarket camera is connected to the Uconnect the same was an OEM camera would be (that took some effort but in the end it worked) the difference is really academic.
I never remove the tire carrier, but if I did I'd definitely put in either a second aftermarket or an OEM camera and simply add a small manual coax switch to select between one or the other.
I can highly recommend the Parkvision 180 camera.
https://www.amazon.com/PARKVISION-Universal-180°Wide-Multiview-Standard/dp/B07K2PKT8L. The wide view and the different modes makes it extremely versatile.
You'll need an extender cable to make the routing through the tire carrier as easy as possible, and as a bonus you also get two waterproof disconnect points so you can remove the camera (which is necessary to remove the spare wheel) and the tire carrier itself.
https://www.amazon.com/PARKVISION-Connector-Extension-180°Multiview-Camera/dp/B07K23VYSN.
And you'll need a keyboard controller to do the initial programming of the camera angles, modes, and guidelines.
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I am in no way associated with Parkvision or the seller on Amazon; I just happen to like the product so much I bought four of them. One for the KL, two for another car (front and rear cameras), and a spare in case one breaks after Parkvision doesn't make them anymore...