The careful omission of a statement whether English was one of those three languages leads me to believe it was not. Had it been, he would have very likely said so, and talked about how the American was wrong for assuming that because someone speaks in an Indian accent their native language isn't English. Instead, he dodges the point entirely and takes offence that someone should care about the difference between being a fluent and a native speaker. Whether or not he's right about that, claiming you are a native speaker of a language when you did not speak it from earliest childhood is factually incorrect.

There's also the fact the title of the article is "Nonnative English speakers share their gripes about speaking English" which leads me to believe the people sharing their gripes are, in fact, not native speakers of English.