While analyses of reading and literacy skills are generally intended to reflect how our educational system is doing.
So obviously, we need to control for immigration rates in these analyses. For assessment of our educational system, ideally we'd only be reporting for children and adults born in the US. (And then breaking out non-native speakers in their own categories to measure their ESL performance rates.)
Because a child (or adult) might have superb literacy in Spanish, but show up as illiterate in English. And these studies generally aren't accounting for that at all.