Hmm, my read of the mess was not that the dog made a mess. Rather, there was an odor (aka "flatulence") that the girl blamed on the dog. Then the girl, not the dog, went into the restroom for 15 minutes.

Not an uncommon occurrence to falsely blame the dog in these instances.

That said, I am looking forward to the day when the airlines have a way for owners and dogs to ride together on a plane, be it in a separate cabin or elsewhere. Then I will actually begin to take my dogs on trips.