Not sure I totally agree. As stated above I had a rather severe reaction to anti-perspirant as a teen - I didn't save the doctor's notes but he said the swelling of my lymph nodes in the armpit region was specifically a reaction to using anti-perspirant vs a deodorant and to his credit I tossed the Right Guard and the quite painful problem went away never to return. Obviously it's probably not a super common problem.
In your case, then yes, definitely! But for the average person without an allergy or irritation, you wouldn't have a problem, at least not to my limited knowledge.