Although the research is looking at stroke and seizures, it seems plausible that it could be a component in neurological disease.

"Researchers connect brain blood vessel lesions to intestinal bacteria"
https://www.nih.gov/news-events/news-releases/researchers-connect-brain-blood-vessel-lesions-intestinal-bacteria

(The NINDS is the nation’s leading funder of research on the brain and nervous system. The mission of NINDS is to seek fundamental knowledge about the brain and nervous system and to use that knowledge to reduce the burden of neurological disease.)

NIH-funded pre-clinical study links gut microbes and the immune system to a genetic disorder that can cause stroke and seizures.