If you look at the evidence hierarchy, this study is at the lowest form of evidence (it's a narrative review -i.e expert opinion), they didn't even run a study.
The ultimate study would multiple randomized controlled trials showing sugar/fructose when controlled for calories, causes increased Alheimer's disease. Since we haven't seen that, we should not draw conclusions.
As the saying goes 'correlation does not imply causation'. We don't even have correlation yet, the headline is an overreach.