Some carbon bars are stiffer than aluminum. My carbon bars on my ATB are, theough lighter. I've seen rider tests indicate the same.
I had shoulder pain. The bone structure was such that it cut a tendon. It took until I was in my 50's to really become painful. They reattached the tendon and shaved the bone. It still bothers me some, but it's far better and I regained at least 90% use.
It took an MRI to show significant damage, but it was worst than even the MRI indicated.
I doubt carbon bars will make a difference.
Al