All of my road bikes have always had drops, and all of my mountain bikes have always had flat bars, although I did consider putting drops on the Schwinn, but never got around to it. Adding extensions to the Schwinn's flat bars helped immensely, by providing me with a much-needed neutral rotation (palm vertical) position similar to what I can obtain with drop bars. Since I have those great old 4-finger motorcycle style Shimano brake handles, I can grab the brakes from either the grips or the extensions.

On a road bike, traditional drop bars look far better than any other type, and I take full advantage of the multiple hand positions.

Now that I think about it, I have changed two bikes from flat handlebars to drops. The first was an old Hercules 3-speed which I converted into a 12-speed with a 14-16-18-20 Cyclo cogset adaptor for the Sturmey Archer hub. The second was my current UO-8, which I originally built up for my wife, starting with the bare frame and UO-18 style flat bars. Since my wife now prefers riding a mountain bike on trails over street cycling, I built her a mountain bike and converted the UO-8 into my commuter, with drop bars and barcons.