The reality is that too much is unknown about many diseases to proclaim what you just proclaimed.
To wit:
“Elevated brain aluminium, early onset Alzheimer’s disease in an individual occupationally exposed to aluminium”
http://www.sciencedaily.com/releases/2014/02/140212093300.htm
Notice it says “An individual”. There has been no study linking antiperspirant to Alzheimers. We may as well blame aluminum foil.