This teacher is drawing a comparison between highly gifted students and basically homeless teens. Of course there is a huge disparity. She should compare the poor teens to average students in an average socioeconomic situation.
Why would she do something that would prove she is wrong (or at least mixing apples and oranges)?
We don’t know if her students are homeless. Since they lie about their circumstances you can believe nothing from them. They learned early that some of their teachers will believe anything and lower standards for them.
I know a woman whose daughter is a teacher in an urban school. Her students tell her the most outlandish stories and the daughter takes food to them because she says they’re all hungry.
Sorry, once someone lies about one thing it undermines the validity of everything else he says.