Dom Bower did an interesting test here:http://www.youtube.com/watch?v=6c2DVwSc0UY
Cant remember the outcome, but Id use rechargeables to save money.
Videos like this make me lose all faith in the internet as an educational medium. If you're going to make an informational video and post it on the internet, the least you could do is some research into the topic so that you can provide some useful information to your viewers.
Rechargable NiMH or NiCd batteries will always recycle faster than Alkaline (assuming all other factors are equal) because of the chemicals used and a property called the internal resistance of the battery. See this wikipedia article on internal resistance
This isn't some arcane knowledge but basic electro chemistry. A quick trip to a chemistry/physics/science forum to ask this question would have got him the answer.
edit: Just realized that this turned into a rant
. Sorry about that, but one of the major beefs I have regarding the internet.