1) Streaming is not a buzzword I've had thrown at me, so I'll pass on this one.
2) Actually, for social studies and science, I can't say I disagree there. At lower grade levels, these topics are covered superficially at best, and I see a lot of value in going deeper rather than faster.
For ELA? I'm pretty sure if you're going deeper, you're way beyond grade-level curriculum.
3) And this teacher's evidence is... what?? Because there's quite a bit of evidence in favor.
Overall, this teacher seems hostile to acceleration. And since acceleration is one of the simplest and most effective tools for meeting the needs of a gifted child, I don't think this teacher has a sufficient understanding of gifted children.
It would be like a music teacher who can't tell you the notes in C-major.