It's kind of late, so I'll try to throw my 2 cents in quickly. I'm certain that I'm guilty of using the term "turn in early." I usually use the phrase "turn early and turn less) when somebody is turning in too late and thus giving too much sterring input at one time. I stole the term from Jonathan Roberts. As we all know, turning in too late is one of most common problems in autocross (especially one of my problems). Techincally speaking, it's just a phrase or trick to help folks to turn in at the appropriate place. I'm sure there's a better way to communicate it, but that's been my default for a while.
When Donnie, Chris, and I co-drove the black Spyder in 2003. They'd often drive first and come back in to tell me the car was pushing like a dump truck. I'd get in and find that it was loose or close to perfect. The reason for the difference was that they were turning in too late. We'd often use the term "turn early and turn less" as one of our mantras to help them make the necessary corrections and they would be fine. The other mantra was "get off the damn brakes."

One of the many benefits of co-driving is that it's often easy to figure out what you are doing right or wrong by sharing information with their co-drivers. If you and your co-driver(s) have a good communication system it can be a big advantage, especially in a sport where you often only get 3 cracks at a course.
I'd be very interested to hear how other folks communicate the same principle.
Eric