On drop bars, I'm mostly on the hoods, a bit on the flats, and only in drops when I want to be more aero. That's one reason why I like Tektro aero levers, as they're very comfortable to grip, particularly when climbing.
And on the standing or seated question, I stand to climb because I'm too lazy to shift and want to keep a consistent cadence. That comes from years of riding a single speed.
Neal