What a goose was doing at 16,000 feet was his business?
I would guess a goose flying at 16,000 feet is avoiding big eagles. Birds do fly over high mountains, like the Rockies and the Himalyas, you know.
Back in the early 80s, an Idaho ANG RF-4C struck a tundra swan near Boise. Bird penetrated the wind screen and seriously injured the pilot. Fortunately, Air Force F-4s had flight controls in the backseat, allowing the WSO to land the aircraft. The pilot never flew again; injuries left him permanently grounded.
If I’m not mistaken, the aircraft struck the bird at 12,000 ft. A jet flying at 400kts (or more) hitting a 20-pound swan can do a lot of damage, even to something as rugged as a Phantom.