I think the highest priority needs to be "Put the results the user is looking for at the top of the list". Second might be "Don't put anything on the list unless it's likely to be what the user is searching for". I don't know if there needs to be a third, but if there was it would be something like "Do it fast and unobtrusively".
Applying this to the article, let's look at the examples in #6. Correcting "Gmae of Th" to "Game of Thrones" is great, but what are the chances that the user would have typed "Gmae of Th" if they were searching for "The Hunger Games", "Enders' Game", or "The Game"? I'd argue that it's close enough to zero that the last 3 choices shouldn't be on the list.
Applying this to the article, let's look at the examples in #6. Correcting "Gmae of Th" to "Game of Thrones" is great, but what are the chances that the user would have typed "Gmae of Th" if they were searching for "The Hunger Games", "Enders' Game", or "The Game"? I'd argue that it's close enough to zero that the last 3 choices shouldn't be on the list.