I haven't ridden anatomic track drops, but I have anatomic Ritchey drops on my road bike, and I can say that they are way more comfortable than a traditional curve, at least in my hands. You're spot-on about that "missing lump."
edit: your mention of playing with handlebar angle also made me think of something I've heard from a couple older riders. It was something like, you could always tell the racer's bikes because the flat bottom part of the drop points straight back, whereas tourers would angle that part of the drop toward the rear axle.
Since tourers are pretty into comfort rather than raciness, this is probably a good practice for a comfortable hand position in the meantime, even if it doesn't look quite as aggressive.