As I got my first shot, the nurse told me the 2nd one was worse. But like you, I found the cost-benefit analysis compelling, and they likely assumed if I got the first one, I'd probably be a repeat customer.
If someone is TFG (had to look up that abbreviation), talking about the side effects was nowhere near table stakes for their degree of concern and FUD. Had you said nothing, I strongly believe they still wouldn't have anyways.