When you are the producer, buying puts is called insurance, aka cost of business. They didn't really lose in those years, because oil price stayed high, thus their profits from oil stayed high too.
The premium loss is absolute, they definitely paid that and lost it. Whether it's justified is a different question and we cannot say with certainty.
It is possible they lost the premium and saw declines in oil revenue. In fact, given the low delta, it's likely to have occurred any year oil went down in price that wasn't 2008, 2014, and 2015.