I agree that the recipe is correct for the most part and what buzd said. I use all three kinds of boil (liquid, powder, and bag) and I also will add in a few oranges for more citrus. Although I do not put in bay leaves. I think that is a NOLA thing?
But I do wonder about him cooking his onions, celery, and garlic for a full 15 minutes BEFORE putting in the potatoes. I put the potatoes in first once water is boiling then add the other veggies as I cook. If using fresh corn I add with the onions and garlic, if using frozen I add at the end like Buzd said. It helps to cool the water off before you soak it. And I also hose off the pot and not add ice. I find the ice cuts the spice a little. I have a Boil Boss and use it whenever I can. Have to get the water to cool down so you can soak longer to soak up the spice. And once the crawfish have all sunk they are ready to eat!