Ti..
I have tried the three types, Alloy, Carbon and Ti on bikes with and without front suspension.
The Ti bars are definitely the softest and most compliant.
The alloy bars were the harshest, and the carbon more towards the Ti end of the spectrum.
I used to think that the carbon bars were the best for damping until I actually tried the titanium JJ H-bars.
There is another factor. As I know quite a bit about carbon composite and carbon moulding and lay-up technique from my previous experience using these materials, there was always the thought in the back of my mind when riding down steep hills and braking hard over the bumps that the carbon bars might break.
Now I know full well that the number of bar breakages is very low for carbon handlebars, but even so, I was never 100% happy when I used them.
Of course, Ti can break and so can alloy given the right set of circumstances, but somehow I feel much safer on the Ti bars than I did on the carbon ones.
I feel that the Ti bars are more comfortable over the carbon or alloy bars, especially on longer rides.
That's my opinion, others may disagree..
R.