It can never escape because its turning speed helps nothing while the distance is big, so the pursuing ship can always catch up to it again.
The only reason a fighter pilot has a chance to escape a faster missile is when the missile’s targeting system can only see in front of it, so when it overshoots it loses its target.
But with a faster turning speed, the chased ship can evade the pursuer forever, if the captain always turns at the perfect moment.