I had issues with CarPlay and my iPhone 15.
I purchased a USB-C to USB-A converter a while back, since most of my cables had USB C and my truck only has USB A. I had issues for a couple of days with CarPlay not starting right away, and a couple of times where I was on the phone with my wife, and CarPlay just quitting in the middle of a phone call.
I went to Best Buy and found a USB A to USB C. I used that for a couple of days now and CarPlay starts almost instantly, and no issues with CarPlay quitting in the middle of a call.
I am pretty sure that the issues is with the converter that I purchased before. The USB C Cable was a braided cable from Apple.
Even though the cable I purchased from Best Buy is NOT an Apple cable, it is for power and data, and it is a thicker cable than most. It was $19.99 and 3 foot long which is more than I needed, but since it works, I don't care.
That is my experience.
Truck is a 2018 Ram Truck 1500. All connections are USB A.