I have found the film posted on the internet. It shows the plane landing with a badly damage turret, the plane being pushed to the back of the ship, a short service, and then the pane being pushed overboard.
Additional information was found in the book, TBF/TBM Avenger units of World War 2.
The incident in the film took place aboard the carrier Essex during a strike against the Philippines in Nov. 1944. The aircraft is TBF-1C White 93 of VT-15. “The turret gunner was killed in action, and as the TBM was considered to be damaged beyond economical repair, the gunner was buried at sea still strapped in his battle station.”