Would they be willing to pay? That probably depends on the audience. Some certainly would. Others use news as entertainment, they probably won't, because there are better forms of entertainment commercially available.
Regarding corrections: I don't like deleting stuff outright, but afaik you can't change the video on YouTube, so that's a harder problem. For their own site, a company could (and should) still leave them online, but clearly mark them as retracted (and say why they retracted it; and possibly set noindex on them so search engines drop them from the results). This would achieve transparency and keep unknowing readers safe. Doing secret edits that change the meaning of sentences is the worst that can happen.