Good UX should help conversion rate, but so might dark patterns, obnoxious popups, lies, etc.
Otherwise, it just becomes an art discussion which can be amusing but hardly something you can build a business on.
For a newspaper, you could also have whether users feel more informed, whether they are more informed, etc.
Are you just saying that outside of a sales funnel there's no way to measure UX? Like, on a day-to-day product usage basis it's not possible to measure my users' experience?
I discuss UX all day long and have all sorts of discussion around various approaches, have principles and strong opinions on various UX related issues, but I would never claim it's a framework that can be used to judge the UX in itself unless I am willing to put it to the test of something externally and quantifiable.
I am not against having personal opinions about what good UX is, but the idea that you can measure UX if you don't have measurable metrics is nothing but a marketing idea.
I think marketers have invaded the UX space a little too hard. We should be thinking of more inventive metrics. Stuff that isn't generic content marketable acronyms for cheap blog thrills, but more deeply ingrained metrics that correlate with the problem you're solving.
Are you solving for conversions? Then sure, use conversions and call it a day.
The UX could be shitty, but if it converts, you're good. There are plenty of dark patterns that fall into this category, including clickbait article titles. Clicking a title just to find out you were baited is horrible UX. But everyone get's paid.