The thing is, unless a ship has missile efficiency engines, which it won't, a ship will never out-accelerate a missile.
Similarly, ships cannot turn faster than missiles for the same reason.
And as a missile approaches a ship, the ship becomes easier and easier to target. (and so does the missile) You can't hide the engine of a MN-range drive from nearly pointblank range, ECM or no.
The only thing ships have more than missiles is fuel efficiency. So for missiles of a specific design fired a certain time-of-flight away from a ship, it cannot compensate for the ship's delta-v with its onboard fuel and still acheive its desired final velocity.
And missiles in cruising mode for part of the journey have a lower final velocity and more time for the target ship to jink and force your missile to burn fuel to course correct.
I think there will be a maximum effective distance of missile use against a target that knows you are launching and can jink. (depends on time-of-flight * target max acceleration / missile delta-v for course correction)