CP of the wing used in pitch computations can certainly move the neutral point of the airplane "off the wing", but it doesn't push any forces around. It's a force that moves with different AOA. And for a model that is only gaining speed, not weight, the AOA will flatten very slightly during an acceleration when the airplane is already at speed.

The Cm of a wing is quite another thing than the Cm of the airplane. And it's the airplane that suddenly pitches.

I guess I don't understand what you mean about a CP being able to "force the location of the force off the wing"? What force? Pitch stability is a balance between the lift force and vector of the wing versus the lift force and vector of the tail (if we ignore the contribution of everything else).

So I guess I'm not following your argument.