Only got a road bike with drops in the last year or so, so I have 20 years of riding with flat bars prior to that which dictates my default preference.
Having said that, the default position when out on the road bike seems to be the brake hoods – not sure that there’s an exact equivalent to that position with a flat-barred set-up. I don’t really use the drops that much but I do use them when riding into a headwind, or as leverage when you’re trying to zip along with a bit of extra oomph.
I guess if you’re not racing and trying to make every second count, they’re there to give you a few different options, so you can have a bit of a stretch when you’re stuck in the same position for hours on end the way that you tend to be when doing some “proper” road riding. Plus they look right. Which is what it’s all about, at the end of the day.