If I was processing the first image (which I prefer of the two), I would process it differently. However, I quite like the slightly flat look here, I think it gives it a film feel.
What truly matter is not how it's processed, but why it was processed. Is that an intentional decision by Jason, is it the result of moving the various sliders to get that look; or is it the result of moving the sliders without an artistic look in mind and arriving at something Jason liked, or is it moving the sliders around because one feels they need to be moved and then exporting the result.
There's no 'correct' image, there's only the image that most portrays what Jason was trying to portray.
It's not the image I would produce, but I like #1.