I'm interning at a Big Tech company currently, and I'd disagree. While I can't speak to experiences as a full-time SDE, I very rarely interface with people outside my team (of ~10 people); from what I understand from my mentor, this experience is pretty universal for SDEs, though it diminishes as you take more senior roles in the company.

My work and a given intern's work has literally nothing in common; in fact, talking with other interns feels like talking to people working at a completely different company.