Your implication is correct that the CDC chart is mostly incomparable to the OP. The chart tries to combine incomparable data, which annoyingly requires interpretation of the legend to understand correctly.

The circles indicate nucleocapsid (i.e., infection only) while the squares indicate spike (i.e., infection or vaccination).

So, Puerto Rico is 70% infected and/or vaccinated (a square). Whereas NY is 13% infected (a circle).

Note that the recent numbers in the CDC chart all seem to be measuring antibodies that only appear from infection, not vaccination (indicated by a circle instead of a square in the chart), while the numbers from the article appear to be measuring antibodies that appear from either infection or vaccination, so they are not directly comparable.