Originally Posted by
Blue Belly
Something must be funky with you're fit or setup. Other than feeling like a contortionist, you should feel as if you have better control in the drops. Your center of gravity is lower & your hand closer to the front axle.
Originally Posted by
Marin
It shouldn't be like that. Drops are the position that give the best control, and descending and tricky turns should always be ridden in the drops.
A 'more aggressive' position, whether it comes from riding a racing geometry as opposed to endurance or going on the drops as opposed to hoods makes the bicycle react to smaller steering inputs from the rider. For an experienced rider with good bike handling skills that translates to more control. For a newer rider who is constantly giving unwanted inputs to the bars, then it leads to what the OP describes.
When riding motorcycles, one is often told that the hands should just be laying on the handlebar, not holding on to it. Similarly for a bicycle, your body should be supported by your core, while your hands just rest on the handlebar. If steering input is required, an extremely gentle push on the bars should be applied.