I see you have 'e.g.' wording, but I'm thinking actual links of news stories that exist right now.
Was thinking yesterday about news that reports "eCigs explode" and how they are written. Again, this topic (eCigs) is one I'm quite familiar with. Of all cases I'm familiar with (from news) about such explosions, it is either always the case, or most often the case, that this explosion is due to user error, but in almost all of the stories written (initially about such incidences) it is never communicated as user error.
So, I can see such news as propaganda, and did before the concept of 'fake news' became so popular (recently). Yet, given how that term is spun, I also see it as fake news, especially since I do think authors of some of the stories are publishing it to serve an agenda, and know what they are conveying is false (that the devices can all on their own just explode).
Prior to the concept of fake news becoming so popular, I would've thought articles such as those found in The Onion would be 'best considerations of fake news.' Now with the concept where it is, I admittedly am not sure what the term means. So much so, that I see lots of overlap in the way you've laid things out. Spin, strikes me as knowingly creating a false/fake impression, but doing so to obtain / perpetuate confirmation bias.
Erroneous news and quality news strike me as having a fine line, and is where I see journalism being an art, or plausibly a science. Such that quality news could be written to be 'fair, factual and useful' but due to spin, could not accurately achieve presentation of other sides, or in such presentations engage in erroneous reporting. Because of the popularity again around fake news, I'm now at a point where it's really challenging to identify quality news, without realizing the same source (publishers / news outlet) likely has a whole bunch of erroneous news items, or erroneous type reporting within quality news stories. If that makes sense. IOW, I almost think quality news is currently mythological.