May the news be entirely subscriber funded in a post-UBI world where everyone can afford to subscribe.
Probably not. UBI doesn’t end the appeal of “free” and doesn't change that the people trying to sell you stuff have a motive to spend money disguising efforts to get you to buy it as other things, like “free" news services.
The advertising targets can afford to pay for the news now, because they are paying for it. But they still pay for it indirectly, and UBI doesn't change the systems which feed into that.
This sounds like a great way to turn all media into tepid listicles.
Then considering this hypothetical money would come from the government (read: other peoples money) can recipients spend this allotment on whatever news sources or viewpoints they want?