Here, I asked wether taking lax pullback preserves continuity, but got no precise answer.

However, I have found this recent article by Riehl and Verity which proves something very similar, but I can't see wether it applies immediately in the context I want.

Can someone familiar with the paper (or perhaps the authors) say if it implies the following:

Suppose $F:C\rightarrow D$ and $G:B\rightarrow D$ are functors of 2-categories which send comma objects to comma objects, is it true that the map $F\downarrow G\rightarrow B$ sends comma objects to comma objects?