Terrible analogy. The EPA knew there was heavy contamination in that mine, and yet decided to drill into the side of the mountain regardless knowing full well the implications of the heavy water getting released. There were other ways they could have gone about measuring and keeping tabs on the toxic build up. Yet they chose the most expedient riskiest solution that backfired spectacularly.
In your analogy, this is akin to the dentist taking a 1/4 inch drill bit to the side of your tooth to measure the cavity damage.
I don't think it's unexpected that an agency in charge of cleanups like this is going to have some blunders. Should they have handled it better? Fine. But that's not much of a statement.
I think you'd have to make a claim about the EPA's net impact/value to say something interesting here.
But interesting, the mine wasn't polluted in the sense of the company dumped chemicals. The mining process simply exposed rock that when it reacts with water, turns acidic. It's a natural process that is simply amplified by the mining process.
The EPA and other orgs are responsible for the cleanup of thousands of polluted areas and superfund sites created by negligent businesses who wantonly polluted and then abandoned their responsibilities leaving it up to their kids and their kids' kids to clean it up.
It's like blaming the dentist for scratching your gums while repairing a cavity. A big dose of, "Well sure, but if you had listened to them in the first place.. "