I'm not familiar with the term "rapid gross" per se -- we used to do a partial gross on certain specimens in the frozen room somewhat regularly, and decide in conjunction with the surgeon whether a frozen was warranted. Mainly the surgeons wanted an idea whether they had decent gross margins on some difficult to palpate tumor, and only sometimes felt microscopic frozen margins would change immediate management. Either way, I never ran to, from, or for anything as a pathology resident. If it can't wait for a pathology resident, please hang up and dial 911. Usually the fastest I would move is if one of our impatient attendings was on service and in the frozen room, as there was always the risk they would start and turn the room into a mess before I got there.
We used to regularly question surgeons (surgical residents and fellows moreso than attendings, because attendings were either 1. making better decisions in the first place, or 2. were so set in their ways and had already had enough arguments with the path attendings that we weren't getting anywhere) regarding whether they would use the results for immediate intra-operative care decisions. And we would...educate them when we found out the patient had already left the OR when we called back with the result. For the most part, the surgical department chairs would help educate and back us up.
I don't recall surgeons intentionally withholding something relevant for a frozen, but it happened some with regular specimens -- often using exactly the same phrase, "I didn't want to bias you.." or some vaguely veiled poke at our ability to know what something is without being "told" by clinical history.