I don't know what narrative you're trying to debunk, because 15% year by year for years and years is high. The UK, which is a top destination for immigration, has never been close to that number until very recently. [3] But really, what I actually find weird is that you're trying to debunk some narrative.
[1] https://www2.census.gov/library/publications/decennial/1910/...
[2] https://www2.census.gov/library/working-papers/1999/demo/pop...
[2] https://en.m.wikipedia.org/wiki/Foreign-born_population_of_t....