Because rotations with complex numbers is not just rotations, its rotations+scaling.
The advantage of complex numbers is to rotate+scale something (or more generally move somewhere in a complex plane), is a one step multiplication operation.
Do you find yourself scaling things a lot in 2D physics, but not translating them? I'd think translation and rotation are more common than scaling.
Do you find yourself scaling things a lot in 2D physics, but not translating them? I'd think translation and rotation are more common than scaling.