Nope! Try 1978! Congress actually passed a bill in 1971, as an early measure, but it was 1978 before the CPSC clamped down and the stuff actually left the store shelves.
I'd believe you if you said it was already losing popularity for interior projects, prior to that. I don't really know when people began to realize lead was a hazard, in paint.
Most folks don't realize that lead isn't really very dangerous, in most forms. Specifically, it's lead dust from sanding or pulverizing paint, that causes most problems. Old houses with lead paint on the woodwork do not create a hazard, until someone comes in and starts sanding down the woodwork for repaint, or the paint starts peeling and some kid eats the stuff. It is most dangerous as a respiratory hazard.