When I took an old leadlight laser apart, the first lens after the diode fell out and I put it back in with the convex side down (towards the diode). I got nothing, zero green output no matter how much I adjusted the diode.
Opened it up and flipped the lens flat side ("plano") back and I was back in business.
I am near certain that they do not use fast-axis collimation as this would result in a cylindrical lens. It would most likely boost the effeciency, but they are more expensive. Apparently, a good portion of IR is lost because of the fast-axis. I even went as far as getting a quote from a diode manuf. to have a fast-axis lens built right into a 9mm 808, 500mW. The quote was over 500 bucks per diode. Too bad, I really want to know how much it increases performance.