The existing batteries are 18mm tall, and oriented vertically in the pack. The new cells are 21mm tall, and also assumed to be oriented vertically within the pack. The net height differences is 3mm. Why would the pack have to be 5mm taller (or "thicker")?
All of which actually be negated by the fact that on teardown, it's been noted that there's ~1/4" (or about 6mm) of dead space between the modules and the floor of the pack. Assuming that may have been designed with the taller cells in mind for future usage, it may be that the 2170's could be packed in to the existing packs with no change in exterior dimensions.