Because if we left species around the world drop left and right, species diversity will be gravely affected over the long term. If say the only animal in the whole of Yangtze river that goes extinct was just the River dolphin, and plenty of other top food chain predators exist. I'll say you'll have more of a case.
But the thing is, its very likely that dozens of species are disappearing from the river as well. Given enough damage, the whole system will collapse. That is the danger of letting one species die off. It's a clear sign that we are doing something wrong and we should stop now before it's too late.
Now, I agree that industry is here to stay and I will never consider the life of dolphin more important than lifting man out of extreme poverty. I myself think that the Yangtze is not going to get cleaner without serious government intervention from Beijing. But to give it up, let the dolphins go extinct is like declaring the river a dead zone. Rapid species extinction only occurs when the environment has been greatly disturbed. If you can't make the river habitable for those dolphins, you can't make it habitable for a whole lot of other species, you can't sustain the river ecosystem, it collapses. And humans will suffer terribly from it, seeing that it is the rivers that feed us, water us and protect the land from erosion.