Theoretically speaking you could be oversensitive to the substance, so in small amounts it should be fine for your body, and in larger amounts you'd get all those alleged symptoms.
However in practice that means that a lot more things than just crystalline MSG would trigger those symptoms - like mushrooms, tomato paste, soy sauce, Parmesan cheese, meat broth, etc.
Babies are also ingesting large amounts of glutamate when being breastfed. Which is why I believe 99.99...% of glutamate "intolerance" / "allergies" are caused by the nocebo-effect.
It probably comes down to eating a lot of very salty foods and not recognizing that you've had too much salt. Common symptoms include temporary high blood pressure and headaches, the same issue that people claim they have with MSG.