It's definitely not the same as double line.
It would pull you out twice as fast.
HOWEVER you are doubling the maximum force that can be applied to the winch cable! You do indeed have double the pulling power, however over the same winch cable connected in the middle, NOT via a pulley, such as in a double line. In a double line, each section of the line is taking half the weight. I.E. No section of the cable is taking more than the rated limit on the winch.
2 vehicles with 9000lb winches and 9000lb cable each connected in the way you describe is the same as 1 vehicle with a 18000lb winch and 9000lb cable.
If the vehicle was REALLY stuck, something would break for sure...
Edit: just to confirm, the vehicles are facing each other in your scenario yes? That's my assumption.

