You know I've actually noticed this but I assumed it was because of the jaw movements rather than the pepperment. I originally chewed the gum for fresh breath. I was also spoken to for chewing gum at school.
For the Trigeminal Neuralgia heading, I wanted to mention that I've had ATN (constant pain in T2 and T3) for nearly three years due to an incompetent dentist. Prior to diagnosis, I was trying all kinds of things to stop the pain. I discovered just about any kind of peppermint gum (preferably the kind with a hard shell initially) will stop or greatly reduce the pain within a minute or two. As long as I can taste the peppermint flavor as I'm chewing, the pain is reduced. As the flavor goes away, the pain comes back. Now that I've been diagnosed and am on medications, I still chew gum in the afternoons when the pills decide they're not going to work anymore! This is very helpful when I'm driving somewhere and would prefer not to cry. Oh, peppermint flavored mouthwash does the trick, too. Do some major swishing for at least two minutes, and afterwards, your mouth will feel a lot better.