If you pick 'Chaos', it's because you think you'd be one of the strongmen/women who eventually rise to form the new informal power elite. In reality, you might be one of their troops, but since you're on an internet videogames forum, it's far more likely you're a slave/ vassal of some description, or were picked off early on because spending more time playing videogames as opposed to athletic activities or hunting or carpentry or whatever will leave you ill prepared for the decline of our decadent little society.
It's kind of like how many nerds secretly want a zombie apocalypse because they believe they will somehow be spared, or how a lot of university students want communism because they think it will put them in charge (albeit informally). In either case, the odds are so against them that it has to damage their thesis, although doesn't seem to destroy it.
Besides, in Tyranny I can still do things like read books that aren't deemed subversive (here's hoping a few of the classics survive the purges, especially the Aeneid), maintain my hobbies (mainly 40k, which will have serious re-writes but will likely be allowed to stay) and climb the career ladder in whatever form the new regime's military takes, basically I can carry through with the plan I have now.