My experience with drop bars is only from way back in the '70s, when tape was cotton cloth, shifters were friction, brakes were side-pull, and brakes had no hoods.
My trekking bar experience is recent, with the latest in tape tech, though I still went with two layers, with the first layer being old innertubes, and the second being el-cheapo cork tape.
Given these biases, it's probably not a surprise that I personally like trekking bars more than drops. But I can say that my XLC trekking bar is way better than the riser bar it replaced, and I didn't have to change my cables, shifters, and brakes as well, which I would have had to do if I went with drop bars. If I had a modern road bike with modern tape tech and brake hoods for an ersatz bullhorn grip position, I'd probably like drops just fine, after it's tuned to a more upright position for my bad back/neck area that makes seeing where I'm going in a low position somewhat painful for me.