I am originally from Canada, where anesthesia is also a 100% MD practice. Like England, physicians specializing in anesthesiology are also called anesthetists.
When I first came to the US, I couldn't figure out why the docs were getting so "huffy" when I asked them if they were the anesthetist.
"No! I'm the anesthesiologist." Toemato, Tomato I thought. It wasn't until I started researching nurse anesthesia, that I realized I was offending their egos. As I write about it here, I realize it's still kinda funny.