This is a good thread and a subject that we talk a lot about.
When do you count the case? When I was an intern, a fellow intern and I decided we weren't going to count a case until we thought we were doing it entirely and could do it without the staff or chief in the room. After about two months, we realized that was stupid. There was no way I could know all the idiosyncracies and "tricks" of doing the case. We then read that if you do "50%" of the case then it's yours. Well that's just a difficult concept.
One week into residency I placed all the ports for a lap chole, the attending dissected out the duct and artery and shot the cholangiogram, then I finished clipping the duct and artery and took the gb out. That's definitely doing more than 50% of the case but I didn't count it. In hindsight, as an intern, that's probably a "countable" case. I learned skills of port placement, clipping laparoscopically, and taking the gb off the liver bed. Definitely skills you need. I would definitely not count that today (I'm a 3rd year) as dissecting the triangle is the difficult part of the case.
Anyway, a difficult concept. I guess if you do 50% of the case and you're performing or enhancing a skill that you need, then that counts.
I was doing a Whipple a couple of months ago with staff (yippee the chiefs were at ACS!) and I guess he forgot I was a 3rd year. He really went out of his way allowing me to do a lot of the dissection. I really got uncomfortable around the neck of the pancreas/SMV/Portal areas and he had to hold my hand a lot through that. I did all the anastomoses (my choledochojejunostomy leaked BTW, dammit) which was super sweet. So there is a case that I definitely could not have done without the attending, parts I couldn't do without hand-holding, but I counted it.
I agree that it's still fun to operate with the chiefs and see how much better/efficient they are in the O.R. than me (granted, I suck). It's just like anything else, the more you do it the better you are.
I did 256 endoscopies my intern year so that's probably how we get these astronomical numbers near 2000. You need to ask how many "major" cases someone has.
In the end, it really doesn't matter how many but how well you can do a case.