If you look on the right side of the Pubmed link linked page you'll see related articles..
http://www.ncbi.nlm.nih.gov/pubmed/25639598
[Related citations in PubMed
Long-term statin use and the risk of Parkinson's disease.[Am J Manag Care. 2013]
Plasma urate and Parkinson's disease in the Atherosclerosis Risk in Communities (ARIC) study.[Am J Epidemiol. 2009]
Lower low-density lipoprotein cholesterol levels are associated with Parkinson's disease.[Mov Disord. 2007]
Some of those mention statins could be neuro protective.
But some say yes and some say maybe not..
So not very conclusive pro or con......