As I understand it, the big problem was that the "oil spilled by a chevron sub" wasn't, at least not according to the evidence that had been discovered through the usual legal process... it was probably spilled by a company owned by the Ecuadorian state long after Chevron and their subsidiaries ceased to have any involvement. Then some really shady business happened where, as far as anyone can tell, the Ecuadorian judge threw out the existing independent expert reports and replaced them with an "independent" report that was secretly ghost-written by him and his team for no justifiable reason in order to find Chevron liable anyway. He also left a considerable paper trail when doing this which the US courts got their hands on, hence all the hand-wringing in the article about "sensitive client information". (The confession from the judge probably didn't help, even if some of it was later retracted, but even without that he'd be in huge legal hot water.)
Somehow, I suspect this quote from the article is at least as much about that development as it is about the lawyer in question somehow being persecuted by Big Oil: "It is this strange multi-front battle with one extraordinary explosive development after another. It has had this magical quality to enrage everyone involved in it."