1. The implementation costs resulting from the constructions of this paper - and subsequently any advantages or disadvantages of the constructions - is unclear. The scaling of the total time (sum of the algorithm parameters) is emphasized in the paper; however, a more important quantity, the scaling of the quantum circuit depth (which scales with the number of QAOA$_p$ repetitions p) is underemphasized and underexplored. While closely related, these quantities are not identical, and how these two quantities relate is not explained in the paper.
This point is elaborated on in the Requested Changes section
2. Similarly, "various quantum circuits" are mentioned as alternatives to the applications considered in this paper, yet the implementation costs are not compared in detail nor other (dis)advantages presented.
(An example of such a circuit is given in App. B.)
[For example, comparing the "total time" of two quantum gate-model algorithms is typically not meaningful, whereas metrics such as circuit depth, are.]