This article however is about stories that disappear without receiving either.
Here's an example of a submission that does not include the [flagged] label, but which has a moderator saying it got flagged, and that the flags are the reason it's not on the front page. https://news.ycombinator.com/item?id=13741276
Many months ago, I had several submissions that were visible when I was logged in, and yet when I accessed HN as a guest, they were not in the submission ranking.
From what I've seen mods are happy to fix any problems.
The moderators bury things on the front page pretty routinely.
That's a pretty big (and vague!) accusation to just throw out there, especially in light of this comment elsewhere: https://news.ycombinator.com/item?id=13858327
dang 6 minutes ago
As others have pointed out, the [flagged] annotation means heavily flagged. A story can be downweighted off the front page by user flags long before [flagged] shows up. Indeed that's what happened to the submission the OP is complaining about. Moderators never saw it.
Mods (as far as I know, I'm not one) never forcibly remove things from the front page. These are almost always the result of user flagging.