I'm fortunate enough to have three (non-folding) road bikes from Independent Fabrication. Two are steel and the third is ti.
Although I could live happily with any one of them, they are different flavors, for lack of a better term.
The ti bike is interesting in one respect. When I ride over exposed aggregate and experience the chatter that transmits up through the frame, it's much more muted on the ti than on the steel bikes. It's almost as if it's vibrating at a different frequency, higher in the spectrum and less intrusive than on the steel bikes. On the steel bikes, that chatter is more of a rumble, lower in frequency and much easier to feel (and be disconcerted by). On a smooth road, much easier to experience that "smooth as glass" feeling when riding the ti, almost as if you're floating along.
So if I'm biking on less than smooth road surfaces, the ti bike is preferred. Oh - and it weighs a couple pounds less than either of its steel stablemates.