I understand how you feel, but that isn't going to happen. It's an EA game, not Steam. Simply you bought the game via Steam. Steam itself cannot add any extra game file fuctionality than the EA app does, as its on the EA app.
Best, to buy on the launcher that owns the game. Two launchers one game. The amount of problems I seen this cause by reading posts, and once myself over two years ago is a lot.
I stopped that practice, so EA games, purchased through EA app only. No extra launcher involved. Since doing that over two years ago I have had not one problem, and can easily "repair," which is the same as Steams "verify," every game.
Worth considering in future.