Maybe none. But one way the times could re establish credibility with me is to be transparent about how much the writer engaged with pr reps or communications teams in each story. It doesn't have to be exhaustive.
By the way- Part of my journey to this level of skepticism was "Trust me, I'm Lying" by Ryan Holiday https://www.amazon.com/Trust-Me-Lying-Confessions-Manipulato...
That would be the worst PR piece you could ask for, unless you mean that you suspect that his political foes were the ones behind this story which is not unlikely but again not a deal-breaker and what's only important to me is the question, were the details listed in the piece factual or not?