Idea for a new chess game mode called Teamwork

So, I've seen Bughouse games but the two players in each team play on different boards. But what happens if all four players (2 teams x 2 players) play on the SAME BOARD?

The board is the same, with the 32 chess pieces and stuff. Player 1 and 3 play as White, while Player 2 and 4 play as Black. Messages can be sent to the enemy team, but NOT to your teammate. So, you and your teammate's opinions must be as close as possible to win the game. Here's an example:
Player 1 (White) moves first, and plays e4. Player 2 (Black) plays e5. Player 3 (White) doesn't know what Player 1 wants, and plays a3, making Player 2 and 4 take control of the center quickly. A few moves later, the White Team managed to make Forced Mate in 1, and it's Player 1's turn to do it. He missed the mate in 1 and makes a blunder, also giving the Black Team an epic comeback.
As you can see, the White Team's thoughts are absolutely different, while the Black Team has teamwork. This is why the Black Team won.

And for the rating gains and losses, it is mostly similar to rapid and blitz, but  the player with more accuracy gains more than their teammate. For example, Player 2's accuracy is higher than Player 4's, so he gains more ELO than player 4.

And that's all! I hope this variant can make a better Chess.com experience. If there are any errors in this blog, please comment. Bye!