some folks claim heavy wooden tripods damp the best.
even light wood tripods.
I use 2 wood tripods ("portable", not one of those 6Kg plus studio instruments) and recently also bought a carbon. The carbon, fully extended (but without the center column extended) is, of course, solid enough. But you have to wait much longer until the entire unit is steady.
On the wood tripods I can do everything with the 2'' timer. Really. Wood absorbs vibration much faster.
Basically wood tripods also have less extensions (carbon 3 or 4 extensions when wood need just 1 or 2 extensions for the same height); this adds significantly to the stability (especially, but not only, if you shoot from bridges or any ground that is not really free from shake).
But the smaller number of extensions also add to worse portability, of course (at least if we talk about a tripod that can go up to 2 meters height or higher).
If carrying the tripod is not an issue I almost always use the big single extension wood tripod (going over 2m height).
If carrying is an issue but I don't expect to go higher than 1,8 meters height I take my mid size double extension wood tripod.
If carrying is an issue and I want to be sure that I am able to go way over 1,8 meters height I take the carbon.
So the carbon is actually on the third place ... but the costs are three times higher than the comparable wood tripod.