With a 0-0 setup it will fly but with some amount of up trim needed.  As the CG is shifted back more towards the model's nuetral point the amount of up trim will become less and less.   When the CG is at the neutral point then the amount of trim will be zero and the model will be neutrally stable.  At that point it will be truly a 0-0 flying model.  BUT.. it would be flying with a positive angle of attack as noted by Lnewqban.

Note that neutrally stable does not mean UNstable.  The model will fly just fine.  But it will need constant attention from the pilot to correct for any disturbances caused by turbulence.

Now when you add some up trim it could correctly be said that the model is no longer truly 0-0.  And that would be right.   So in a way you're both right.  It just depends on the CG location.  And to some extent where on the model the wing is located.  A high wing model will produce a high drag center and that acts like positive incidence as well when it comes to the model self stabilizing.  Similarly a low wing with big "grass" wheels can have so much low centered drag that it needs to have some positive incidence in the wing to achieve an effectively 0-0 setup.