You said "there is in fact a big migration back into the cities" and that's the part that the numbers disagree with.
Instead, there has been a slowdown in the continuing move to the suburbs. And a suburb-centered population is one that still won't move so quickly on transit and the like, at a state and national level.
No, population growth in the burbs alone does not disprove migration into the cities. As I said, skyrocketing costs in the cities are evidence of this. With respect to city transportation infrastructure, wealthier people moving in and developers building up capacity are significant forces in affecting policy.
Instead, there has been a slowdown in the continuing move to the suburbs. And a suburb-centered population is one that still won't move so quickly on transit and the like, at a state and national level.