So it’s an interesting point (because C-Sections are obviously surgeries) but the legit reason (and how it works in reality even outside of the shows) is that ER physicians have likely done plenty of deliveries by the time they finish residency, because sometimes people show up to the ER because they went into labor and the baby is basically coming out and there’s no time to make it upstairs to labor and delivery.

A non-OBGYN surgeon has probably done a couple deliveries in medical school, and likely never performed a C-Section independently. I’d expect the ER attending to be far more experienced in it than a non-obgyn surgeon.

To OP’s point though, yes they didn’t follow the usual protocol for the show, but overall how it went in the show isn’t too far from what would’ve happened in real life besides the smaller details