It is interesting to talk with a family member who is a physician mainly for male veterans of the armed forces. He's got roughly the same training as someone who would treat families, but because he's worked with this older/sicker/male/poorer population with particular shared experiences, he's really developed an ear for what these guys are saying and not saying. It's a whole set of para-medical skills that do not transfer to children, women, guys who come from a very different demographic or cultural profile.
So I sort of agree that gut feeling varies based on the language a patient will use, but knowing your patient population well can help you tune in beyond the words.
Your example perhaps doesn’t lend itself to a discussion of “gut feelings”, since it describes different symptoms quite specifically. In the absence of other information, the first sounds like a heart attack, the second, heart-burn (acid reflux).
Gut feeling relies on more abstract concepts, particularly in the context of pediatrics where a child may be unable to verbalise their symptoms.
I agree the specific example is somewhat explicit, but the point being made is valid. Whether it's a subtle choice of words, lack of eye contact, or constant fidgeting. They can all have some additional meaning (or none!).
One example that I've heard is common is about reading body language that might indicate discomfort in talking about a subject, which might suggest under/mis-reporting of an issue.
The gut feelings a doctor has to a patient saying "I have crushing chest pain" will be different to the patient saying "I have burning chest pain".