I eat gravy on my biscuits, my eggs, taters, steak and so forth. it's migrated into my peas and beans before and didn't slow me down. Can't get a good look at the tongue depressor that they're using to consume it, but I'd give it a shot.
I rarely grab anything from the concession stands in BD other than maybe a large drink/water at hot weather games. But the last hotdog I had (2 season's ago) from a concession stand tasted about how that fry dish with Chernobyl gravy looks.