For a given body position, you're actually more aero with your arms on the hoods up top then in the drops. You don't "scoop up" as much air.
The drops are a superior hand position when descending, cornering, sprinting, or to protect them in tight quarters with other riders, so you don't get them hooked and crash. Basically when safety and/or bike handling is the utmost concern. More aero they are not.
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"Your beauty is an aeroplane;
so high, my heart cannot bear the strain." -A.C. Jobim, Triste