Presumably if you were vaccinated as a child against chickenpox (Herpes Zoster) and didn't get chickenpox then you already have the protection.
There are no dementia statistics versus vaccination for that demographic because vaccination started about 1995.
There is also a relevant XKCD: https://xkcd.com/1950/
If you are thinking that dementia is caused by shingles, then also consider that shingles is caused by chickenpox.
is this a regional/country thing? I'm 30 and I never got chickenpox vaxx, and I never heard of anyone getting such a thing growing up. but I also never heard of anyone getting chickenpox either when I was a kid. it just wasn't a thing? I only knew about it from american cartoons.
not an antivaxx community, people got MMR and HPV and tetanus vaxx. this was normalworld suburban britain. I didn't even know there was a chickenpox vaxx until now.