That's correct, and in nova scotia canada where the show this image is from was filmed it's very, very popular. This is due to Turkish immigration. We have made some changes though, and these don't exist elsewhere. Specifically the donair sauce a sweet garlic sauce we put onto the donair.

Here in nova scotia every nearly every pizza shop has donair available too. It was a shock to me when I visited Maine not to see it

Colloquially however in nova scotia both döner and kebab rolls are referred to as donair. This isn't true in america however or most of canada