All my fixed gear bikes and my road bike have randonneur bars (drops) and my geared commuter has cross bars (drops)... I could never find any love for bullhorns and flat / riser bars are only good for my mtb.
With the drops I can get more aero and this really enables one to go faster and is good when you have to run into stiff headwinds for longer distances... I have a pretty level saddle to bar setup on most of my bikes as this is more comfortable for the long haul.
And they tell me I'm pretty fast for an old guy.