I myself have no experience with either (other than partial carbon no, no problems) but from what I gather Reading on the forums, the ti bike would depend highly on design and model.

Years back when Litespeed was real big, they offered the low end ti ($2400 model) and the high end ($4500). That was back in the late 90's /early 2000's.

They say the low end bike was really flexy and not good for heavier rider. I looked into the low end model but my friend that managed the LBS talked me out of it saying low end ti models were too flexy and noodly under my 230 lb body.

But other posters made claims (back then) that the high end designs were very stiff due to tube shape and design that was different from the low end model.

Like I said, no first hand experience but might be something you would like to investigate!