I have zero faith in auto-routing. I guess it's ok when signal integrity, board use, and placement are all non-issues. Otherwise, I hand-route because I care. Placing each individual trace gives me the chance to really think about what the signal is doing, what it's near, and what interactions I may or may not experience based on choices I make.
Kinda like changing your car's oil. You can outsource that, but when you do it yourself, there's a bond between man and machine. (Often that bond can be dissolved with some citrus cleaner, though.)