Okay I think I understand what you are talking about, but I don't think they would put that in an Ace Combat. While I haven't played an Ace Combat game in a few months, I have played a lot of Sky Rouge, which controls the same way as the PS2 ones do if I remember correctly so I'm pretty in tune with how that type of control works. First off many Ace Combat planes are real world aircraft, and no plane in the world controls like that. Planes have a central control stick that controls pitch and roll (rolling and pulling up and down), and pedals that control yaw (left and right turning). It looks to me that you control the control flaps individually in Warhawk with each stick, which allows for quick erratic movement and that might be a great thing for a very arcade controlling game like Warhawk. Like the plane in that video is going super fast and can turn on a dime, which is not how planes work usually
(Except for the dumb ass scripted bosses from AC: Assult Horizon) AC tries to balance arcade gameplay with real world setting, so I don't think they would completely change how the planes work to add in those controls.
Secondly it looks visually janky to me personally, but if it feels good in that game I'd probably get over it. But in AC I don't think that a control method would mesh with the aesthetic or gameplay.
But more options for the player is always better, so it would be cool if they added in an option to fly like that in AC7 for you.