Welcome to PF!
It is tough to know exactly what he is referring to, but there are a couple of possibilities:
1. The way we coordinate our movements affects the timing and alignment of the impact (duh, but I'll explain...). A smooth, continuous motion is simpler to achieve than one that changes over time. As a result, smooth, continuous acceleration that you stop only after you've made contact produces the best results. To be clear, though, the acceleration of the club-head isn't exactly constant, it is the various rotations (hips, shoulders, wrists) that should each be smooth - but they combine to produce a more complicated pattern of motion.
2. The shaft of the club is elastic. As you swing, it stores and releases elastic energy, which also accelerates the club. However, it was my understanding that you want the club back at straight (moving through straight) when you make contact, and as it passes straight, the additional force from the elasticity drops to zero. So I'm not certain how that could relate.