I agree, very inconsistent markings. And it should be the eggs themselves.

While I consider that statement normal, It is never something that is attached to every menu item.

First source I found from a search https://doh.vi.gov/wp-content/uploads/2018/01/Consumer-Advisory-for-Menus.pdf

Edit, another source with better examples https://www.fairfaxcounty.gov/health/food/operators/consumer-advisory I am sure I could probably find something from the USDA or FDA ,but I already put too much effort into this.