You can rest assure that a deer uses it nose all the time, even if they are forced downwind. I would guess from what you stated, that either your shooters were to close to where you started your push, or the dogs played a real big role in the scenerio, or maybe both factors, comes into play.
If the deer feel really threatened they will hightail it out of the area, until they feel unthreatened.
Under normal stalking they usually won't go only 2 or 3 hundred yards or so, and then will settle down and use their senses to determine if further action is required.
But you are talking about pushing them with people and dogs no less. Coyotes and wolves are predators and dogs. I don't think they want to hang around for the finally, would you?