I'd like to separate this discussion into two questions.
1) Is it necessary to design the gravity columns to resist moments and shears due to the P-Delta effect of lateral drift?
Ans: Only if those P-Delta effects cause moments and / or shears in those columns. I think this is what most people have been referring to.
In that paper, the columns were assumed to have fixed bases. Therefore, they will experience some moment and shear due to lateral drift. So, they should be designed for that. If the columns were "pinned" at the base then they would not have to be designed for it. That being said, my tendency is to think of thim as fixed and make sure the base can resist a moment of P*Delta for the column.
2) Is it necessary to design your gravity only columns (and column connections) so that they are able to accept the lateral drift?
Ans: Yes, your connections should be capable of handling whatever drift you are expecting from design loads. Let's say you have a seated connection, if your drift is going to pull the beam off its seat, then it totally changes the load path assumed in your connection design.
If the gravity / shear connection is not sufficiently ductile to accept the lateral deflection, then you will have problems.