Yes they did have a problem. And it turned out to be a design flaw, not a flaw in the actions of the pilots.
What are you suggesting? In future suspect that the documentation is always wrong? Suppose I have an increase in vibration on one engine and I go to the QRH and it tells me that it's ok to continue unless other engine indications are abnormal. I know better than the manufacturer so I elect to shut the engine down anyway and then I have to land at the nearest available airport. When an engineer is ferried out there and the passengers have spent the night sleeping on the floor of the terminal it turns out to be a gauge malfunction and I am looking for another job.