Not true. Whether it's the company's business is between you and the company...they'll fire you if they find out you lied, but their access to your history is limited at best.

But any medical history is most definitely the FAA's business, and if it's worth claiming disability for, they will not see the humor if you don't report it to them. They have recently cross-referenced FAA medical apps with (non-military) government disability claims and sent people to jail for lying. I suspect they haven't gone after VA records because of the wars...they would be publicly vilified for picking on the troops. But the wars will wind down and there's no legal or administrative reason that I know of that prevents the FAA from accessing DoD and/or VA records. It's all computerized now...I wouldn't want a ticking data bomb hanging over my head in cyberspace.