I'm not a DM, but twice I was asked to show my log book. The first time was when I was OW & the other divers on our guided dive boat decided our first dive of the trip should be a 90' dive with light wreck penetration with a possibility of mild current. They asked if I was comfortable with that, and I said I was because I had very recently been on a few deep wreck penetrations on other guided dives, with moderate current. I showed them the relevant logs in my book, my dive buddies who were with me on those dives too vouched for my skill level and off we went. Great dive.
The second time was the day after I completed my AOW dives, when we switched dive operators. The new operation gave me a hard time about the trip because I had an OW & Nitrox cards, and the dives we were doing were all deep, wreck penetrations in strong current. These were exactly the kinds of dives I did both days before, but not with them. Fortunately the LDS owner & instructor who signed off on my AOW was there to tell them that I just finished the day before, but they really even gave him a hard time. Same dive operator wouldn't drop us at one site because they said the current was too strong, even though the divers said it was not worse than the last few days. I guess that operator is just more conservative than the average. Nothing wrong with that, just not something I've seen too often. More often like another post said, "Can I see your credit card, and, oh yeah, your c card?"
The fact that most places don't ask makes me worry a little because I've seen some less experienced divers want to join unguided dives in conditions they have never dove before and the Captain/DM never even asks if this is a good idea. I know, each diver is responsible for himself or herself, but I say let's all kindly save each other from our own poor judgement when we can. I'm all for developing new skills and testing your boundaries safely, but within reason and with proper planning. I'm excited to take Rescue Diver this summer, so I can save myself from my own stupidity. Maybe I'll even be able to help someone else along the way.