While it may be a faction right to request it, it doesn't mean that it will be done automatically. Equally, not only when official factions demand it will it be done. A reputation change may come about because of sanctions, from observations made of roleplay interactions or any of a whole variety of reasons.
To answer your shouty questions:
Is this or is this not a right of an offical faction?
Yes, it is.
Can we expect unoffical factions to be able to use this in the future?
Who can tell what the future holds. Not for the time being. Unlikely though. Unofficial factions tend to be unofficial for a reason.
Can we get a list of factions that are unoffical but are considered quasi offical so we know which ones have access to these rights?
No, because there isn't one. There is a list of official factions around here somewhere, Maybe that would be the place to start, and use a process of elimination.
If a person has made themselves an enemy of an entire faction and is in need of a rep hack, wouldn't the offical groups request it? Why are unoffical groups being allowed to?
The concern here seems to be someone else apparently exercising a power that others mistakenly believe to be exclusively theirs. This is the key misconception. If the admin team observes a character behaving in a particular way, then we have and will continue to adjust peoples' reputations to reflect that behaviour. Or to put it another way, a player can threaten to have someone's rep changed as much as they want. Carrying through that threat is another thing.
For rep changes, only administrators can do it. And even then it needs to be warranted, and something requiring the somber, solemn and serious meditation and reflection required of determining a player's docking rights on stations in a fictional universe.
Now, you can't reasonably expect to threaten to blow up a station and not have that entire faction hostile to you. There are consequences to in game actions. Most of which is moot; the right is intended to reinforce the idea that official factions determine faction diplomacy, ie a roleplay tool, and not a stick with which to beat other players.
