Do I have a sure-grip or not?

That's not necessarily correct. Sometimes in neutral, the opposite tire will rotate the same direction as the one you're turning simply because of friction of gear oil and that it's in neutral. The best way to tell is in park with the wheels in the air. Grab one wheel and try to turn it. If it turns and the opposite wheel turns the opposite direction, it's an open differential. If you cannot turn the wheel, you have a sure grip.
How's that play out with a stick shift?