Decades ago, I remember it being called the "Mid-Atlantic accent". It was a joke, because it was an artificial accent. The name suggested both a blend of US and England, but also suggested, tongue in cheek, that it was the way people who lived in the middle of the Atlantic (in other words, nobody) actually spoke.

Yes, I've mostly known it as being referred to as the TransAtlantic accent rather than mid-atlantic.

fwiw i've heard it called both "Trans-Atlantic" & "Mid-Atlantic"