Yes, in analytical labs, there are rules such as this. When you've dried something by heating, you've driven off moisture, and driven out air. If its too hot, you run the risk of cracking the glass (yes, even pyrex) on contact with a cold surface. If you let it cool too far, you run the risk of allowing ambient moisture to re-condense, adding perhaps thousandths of a gram of weight that wouldn't have been there hours before. So these are some of the many procedural "rules" analytical labs just follow blindly. The goal is consistency of how you handle things. Sometimes that may have minimal effects, and sometimes, at random, say a really humid place or time of the year, really noticeable effects. So to avoid surprises, everyone follows these rules.
It is not a coincidence that ANALytical chemistry shares the root word that Freud applied to people who's personality traits are tied to "orderliness, stubbornness, a compulsion for control." Success in analytical chemistry is in some ways driven by the scientist's ability to control even trivial things.