The simple answer to "when should an E4OD shift into OD", Is, whenever the controller tells it to. And that leads to the question, at any given moment, what is the controller telling the trans?
For well over a decade, I have found knowing what the controller is telling the trans to be very useful. Even directing side-of-the-road maintenance. It is also useful after tire or gear changes.
I put LEDs on each of the four solenoids. The solenoids are powered from inside the valve body, and activated by grounding the other side of the coil. So I connect an LED from the activation terminal to ground. When the coil is not activated, there is enough current thru the coil to light the LED, but not move the valve. When the coil is activated, the input to the LED is grounded, and so does not light.
If an LED is on, you know the coil is powered and intact, and that it is not activated. If the LED was on and is now off, you know the coil is now activated.
Knowing what light combination resulted in which gear selection, made me aware that the powe-off trans condition, in an E4OD, is forth gear and no converter lock. So, when I had a total electric power loss, I was able to jump the IP valve and starter, and drive home.