Been working with Apple Support (senior tech) since September 18. I've sent logs 3 times.
My '22 Wrangler Rubicon's U-Connect firmware is up-to-date on the 8.4 display re: the dealer.
My 14 Pro worked flawlessly for a year. (Yes, I deleted it from the U-Connect memory before adding the 15 Pro)
I have a "burner" iPhone 8 and if I tether, I get a prompt asking if I want to set up CarPlay.
I have spent $29 on the Apple USB C to Lightning adapter & returned it. It never worked.
I have spent another $70 on various combinations of cables (USB C to USB C, USB C to USB A) Apple branded as well as aftermarket. I have had some success if I unplug and replug multiple times with the Anker USB A to C woven in a 3' length. I also had success with my GoPro's USB A to C 12". As you know, the GoPro cable is made to transfer heavy data loads. My Apple Support tech was especially interested in this and had me send a log using the GoPro cable.
The CarPlay issue has even appeared in Newsweek. I am hopeful Apple will address it in iOS 17.1.