I don't know if all have been talking of the same. One can model a C lift core even with lips with line column "frame" elements. Autocad AME will give you position of cog in the shape and Ixx and Iyy, and J and shear areas you can derive from Pilkey if such refinement you want. Then you put your core in 3D where its cog, and rigid links connect it to anything there meets.
Then conventional sectional analysis gives you the stresses; and other things can be checked if necessary precisely as per clause stated (think of one tip of shearwall required reinforcement).
Of course, some things are lost in this model, but in any model are lost, and normally I wouldn't proceed nonchalantly if the core would be critical... where I have worked with them cores were not, jsut contributors to stiffness. I practice in Spain and the percent stiffness allocation is for now of no concern, what is not to say ther are no clauses pertaining to aseismic design.
On the other hand, I also model walls and slabs with plates, and it is not difficult to come to some reasonable reinforcement scheme...what does not mean it would be nice to have a very good automatical way of such thing doing. So programs do...but do what you would think is correct? (assume similar and good knowledge in both the programmer and the user). In Spain one program reinforces slabs, true, but the output is as if made by one mad draftsman.