The phrase "Korean BBQ" was made up by Koreans who live here in the States. It was a way for Korean restaurant owners to advertise what they were selling. Americans are less likely to understand what "bulgogi" or "bulgalbi" is. Not only is it hard to pronounce, it doesn't even sound good to eat. The phrase "Korean BBQ" fixed all that. People understood what is was, albeit wrongly, and it sounded pretty good too.