Aero drop bars have a flattened tops segment. This is the length of tube between the stem and the 'bends' where the bars curve forward. It is claimed that this makes the bars more aerodynamic as a smaller cross section is exposed to the wind. Please don't debate this here.
What are disadvantages of such aero bars compared to comparable drop bars?
At present there are aero bars on the market that have a similar shape, price, material (carbon composite), weight to regular bars. The only significantly distinguishing feature is the flat aero section. Is there a good reason to prefer one over the other?
For comparison, here are some "regular" handlebars: