The NSAID family of drugs of which Ibuprofen is a member, have been used for various inflammatory conditions in the brain.

They are used (mostly Indomethacin) for certain chronic headaches. (some of these chronic types are thought to be inflammatory in origin)

Also NSAIDs have been trialed to see if they can prevent or forestall progression of Alzheimer's..with mixed results.

So it is possible these drugs could perhaps help with some inflammatory brain situations, or just be a mild pain reliever to help sleeping for those with arthritis etc.

The NSAIDs are not innocuous, but 200mg of OTC Ibu is not alarming. They have all been tested for cardiac effects, and naproxen is the least toxic to the heart for long term use.
At prescription strength, they can affect kidney functions, and the liver, so getting tested regularly at the doctor's is advised to make sure this is not happening.
Also they can affect bleeding issues (platelet functions), but not as much as aspirin does.

This is a meta-analysis of using NSAIDs in PD..
http://www.ncbi.nlm.nih.gov/pubmed/19728750

This paper did not find compelling PD prevention.
http://www.bmj.com/content/342/bmj.d198

Google is filled with papers and articles about NSAIDs and PD...most are about prevention. But that it is possible that inflammatory symptoms might be relieved subjectively by them so you could sleep more peacefully.