Yes thats true all vaccines no matter for whatever illness will represent a risk/ side effects. That severely affect small amounts of people.
I would further add that it would be wise to look at the research and statements of relevant experts in the branch of medicine being discussed.
In this case that would be someone who is an immunulogist. It is a very complex science and everyone who is from the medical profession will not have a thorough understanding or grounding in immunology.
Just like not everyone who is from the medical field will have an expert knowledge on diet and nutrition. That in itself is a specialised field and requires a seperate degree to become a dietician.