I have both titanium {litespeed}and carbon{Scott} road bikes, set up the same with Dura Ace components.
I love the aesthetics of the titanium bike. The beautiful welds, the differing shapes of the tubes. The quickness of the steering and overall handling.
I love the ride of the carbon bike, especially on rough rual roads that I mostly ride. And when the road points upward there is a difference that can be felt in the lightweight of the carbon.
I am fortunate enough to have both to ride. If I had to choose only one, I would probably go with the carbon f.