The team did indeed find that flu vaccines reduced the risk of Alzheimers. But he specifically doesn't say they know why the flu vaccine lowers the risk. Ie. They can't claim causation if they don't understand the underlying reason for the change. That's not how science works.
In fact in the article in question he says the opposite: That the immune system is vastly complex, and all they can say is the immune system reacts to flu vaccines (all flu, not just a specific one) by diminishing an Alzheimers response. ¯\_(ツ)_/¯ More study needed plz.