My PP can vary based on the situation. I have Aperture, Lightrooom, and CS6. I use Aperture for asset management and for most of light work (about 80% of what I do), use Lightroom when I need more significant RAW adjustment capability, and Photoshop when I really care about a picture a lot.
Why I say ADL will do what I cannot achieve in PP is because when I did my first tests, I found that ADL did a phenomenal job of bringing up the light levels in the shadows. I was thrilled, but I might have been able to do this in PP by bringing up the shadows. But then I did some research and found there were some sophisticated ADL algorithms that actually adjusted the exposure along the way. I don't think you can duplicate that.
I don't remember where I did my reading, but it was pretty neat stuff.