Need help cooling 600w - confused

Ok so i have this fan LINK
Its temp controlled and is easily enough to cool my closet, but i want to cool my hood
plan on getting this one LINK
But heres where i get confused, i dont want the heat being pulled in by the fan from the hood to be too hot or otherwise my fan will go onto the highest speed constantly thinking my room it hotter than it is, what i want to know is if the air being pulled in will be just a bit warmer or will it be way warmer and make the fan think its roasting? any help and i hope i have explained that so u can understand it if not sorry

hook a fan up to the hood so it sucks air out of the hood have it exaust outside the room if your fans are on a reostat set it in side the room it will only turn off or on when room temp is out of controll