No, I just play one on TV.
Wait a minute. I thought it WAS a logbook question we were debating. The OP asked if he should answer the question of "how many logged dives" with the number of dives he actually did, even though he didn't have a logbook as proof. I suggested he interpret "logged" as he saw fit, in good faith, and added my opinion that it would be in the dive's shop best interest to accept that, as opposed to the dive shop having a policy of asking to see a logbook as proof. My thinking was that a dive shop that does not ask to see a logbook as proof but rather takes the signed form at face value--signed by a certified diver who presumably knows what the question is asking--would be in a better position in litigation. My thinking is that dive shop employees are unlikely to consistently check logbooks in a way that isn't going to fall apart under questioning in litigation. It just doesn't seem practical to use logbooks as proof. What format is acceptable? What's the minimum information that needs to be recorded? It's too much work, too subjective, and employees are going to take shortcuts or otherwise mess up. I think a policy of checking logbooks opens the door to a questioning scenario the insurance defense lawyer would rather avoid. That's what I was getting it, but I didn't want to sidetrack the thread with this debate.
Regardless, I think the policy Christi described of actually observing the diver in the water before taking the diver on a challenging dive makes the most sense. It's subjective, but if the dive op's goal is actually to keep divers from getting injured in the first place, it probably does the job better than other methods.