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This "new" version that you're talking about is the only way I've ever played it, not counting playing Battleship Salvo style where you launch five shots at once. Are you guys telling me that Battleboats is played by taking a shot and whether or not you hit something, the turn passes to the opponent? I've never heard of anyone playing it that way when playing it one shot at a time. When I was a kid and before, I think Milton Bradley started marketing Battleship, we'd play the game on pieces of paper. After we got a Battleship game for a present we'd use it to play. The Salvo version is faster. You get a shot for each boat of yours that hasn't been sunk yet. No extra turns for hits though. Another version we'd play is to announce when a ship is sunk, but not what kind of ship it was. With strategic placing of your boats, you could sometime mislead your opponent into thinking he'd sink a different ship and get him to try elsewhere on the ocean.
Perhaps I'll have to check out the Battleboats here and give it a try.