The definition of "intrinsically safe" doesn't even sound like a consistent bar. Nearly every aspect of living involves risks, even if that risk is of falling and hitting one's head.
Or if the side-effect subset is random.
* Injection site pain * Fatigue * Headache * Muscle pain * Chills * Joint pain * Fever
The effects are too mild and short term to pose an interesting research question, I would think.
For the more sever side effect of swollen lymph nodes, it has not been investigated, though that might provide enough immune system insight to be an interesting question to pursue.
The only other adverse event, Bell's Palsy, is currently indistinguishable from the background rate of occurrence, so I would doubt that anybody is investigating that.
There's a big methodological problem too: you can either get an extreme reaction to COVID-19, or you can have side effects from the vaccine, but a person going through one would poison the results of the other. So to come up with some sort of experiment, you'd need some sort or prognostic based on biomarkers that was strong and convincing enough to think it was related to what you're predicting, which we definitely don't have yet. Then you'd need to cross tab between effects. Potentially possible, but it relies on a pretty big discovery that would have better uses!