I like the phrase, "pushing the corner" as it works also and doesn't make your brain have to think of the counter steer. Pushing on the left side, causes a pull on the right side, and visa-versa The drivers' manual here says, "press down on the handlebar side of the turn."
I know of a very wealthy man who went out and bought a few Harley's. On his first ride, he wouldn't let his instincts take over, insisting it had to be like an automobile. He kept trying to steer it like a car. He finally stopped and waited for help, which when it arrived, he asked, "How the hell do you steer these?"