There exists no convincing argument that movies should never be based on board games, because Clue exists, and therefore disproves any such argument. That said, the game of Battleship is a categorically stupid idea for a movie. Battleship is basically bingo with a bit of deductive strategy and no wacky prizes at the end. People in movies cannot sit around yelling YOU SUNK MY BATTLESHIP at each other, a fact which must have been clear to the people behind Battleship. Despite its dubious source material, Battleship is the one of the greatest dumb action movies of the early twenty-teens. Writers Jon and Erich Hoeber and director Peter Berg clearly took their Hasbro/Universal paychecks, gave the game a serious side-eye, and opted to keep just a few elements: big honkin’ battleships, cylindrical missile things, and goofy coordinates.
Everything else is newly made-up big dumb action movie gold.