I can't think of any differential that doesn't follow the general kinematics that I mentioned. Even the computer controlled LSDs would do the same. Basically any dif that uses gears would do the same thing. A system might use a computer to control a LSD clutch pack in a dif but it still has the fundamental property that the average of the output speeds equals the input speed.
I am aware of many of clutch packs or viscous type systems used instead of center difs on AWD cars. I haven't seen those commonly referred to as a "differential". They do some of the job of a dif but again, they are more like variable control that sends some amount of torque to an axle.
Can you give me an example of the sort of newer dif you are referring to? I certainly could have missed some new type of dif.