Many factors can produce both delayed gastric emptying and the disorders listed. Migraines are one example that fits, since they often come with a couple days of slowed stomach emptying and are also connected to Parkinson's and inflammation. A diet high in red meat and low in fiber does the same thing. So it may just be correlation rather than the emptying itself causing the issues.
I saw an article about slow bowel movements and possible health connections. Since GLPs slow gastric emptying I wanted to know what others here think. The piece said slow transit times and constipation have been tied to metabolic and inflammatory problems plus neurological issues like Parkinson's.