I do believe that there are two levels of neural adaptation: general and specific. The general benefit of strength training is that, regardless of the exercise's motor specificity to the sport action, there will be a transfer to performance if you use high force strength training (either lifting heavy weights, or lifting explosively). So we could say that by using high force techniques with compound lifting movements we improve the general capacity of the nervous sytem; increasing potential neural drive if we could say.
The specific benefits of strength training (specific in regard to a certain sport action) are found mostly when it comes to the strengthening of the muscles involved in the athlete's sport. It also refers to the type of muscle action (eccentric, isometric, concentric) and velocity of movement.
So a training program for sport should include both, general lifting movements performed with either heavy weights or maximum acceleration AND exercises specific to the sport as far as muscles involved, type of muscle action and speed of contraction.
What I don't believe in is duplicating sport actions in the gym. The late Dr. Mel Siff even explained how this could be detrimental to sport performance in his textbook "Supertraining".