The interaction strengthens both, by selecting for the most effective predator and the most effective prey. The human conundrum, of course, is that species self-interest is out of whack. More and more of what we do serves to disrupt, degrade and harm the ecosystems of which we are elements. This is correct as far as it goes. The problem is, intuitively it just won't work.
Self interest is an ecological sine qua non.
We can't just turn it off. What is needed, instead, is a better definition of self. A massive Siberian Tiger overwhelmed our kids with its tiger-ness. But this tiger had never stalked and killed a wild deer. It had never waded a reedgrass swamp or smelled the resin-scented wind sweeping in off the Aldan Plateau.