Just out of curiosity, where did you get this information? If there is a study, I would love to read it

Just asking because my experience has been the exact opposite, especially with geese, for which misting and cooling goes from about the sixth day right up to lockdown for best results, so not during the early incubation stages at all.
Air cells definitely do appear to get bigger right before hatch, when they go into draw down, but that is caused by the duckling getting into the hatching position, not sudden loss of moisture from inside the egg. Although I'm not sure if that's what you were talking about when you're saying air cells get bigger right before hatch.