I would say the moral arc of the hidden family is a rejection of the "morality follows wealth" idea. When they are in debt and danger their solution is to hide and work hard. The wife sacrifices a lot to keep her husband fed and they seem to love each other. What they're doing isn't perfect, but seems like one of their best options. The hidden family only becomes violent after they are held captive and the wife is killed and the husband nearly killed.
I'm not sure how poor the original tutor is. I don't think that's clear at all. He wants to marry rich daughter, but that doesn't mean he's rich. The main son wants to marry rich daughter too.
The he mother does have a lot when she's cruel to the dog. She has more food than she can eat and won't spare it. When she and her family have fully infiltrated the rich household, they don't help the hidden husband.
I don't think the film is the good poor versus the evil poor. I think the film is something like a rich person's horror story - the poor hold you in contempt, they're lying to you, they're parasitic off of you, and they're a danger to you and your children. Even worse, they're in your home!
Your interpretation of the film seems explicitly rejected be the film itself as I explained above.
What exposes your biases is that you reduce her to the superficial appearance that she puts on for the rich in order to survive. This is not only viewing her through the perspective of the wealthy in the film, but counter to what the movie itself tells you she is forced to do and become, outside this limited perspective. It’s embracing an ignorance of the entirety of her characterization that the film intentionally elaborates.
And this is what Bong Joo Ho himself said about his movie:
“I tried to express a sentiment specific to Korean culture, [but] all the responses from different audiences were pretty much the same. Essentially, we all live in the same country, called Capitalism.”
The film is a depiction of life under Capitalism and all the related tensions, violence, and inequality that comes along with it. At a certain point, refusing to acknowledge this is just being willfully obtuse.
I think your attempt to perceive and expose my biases is unsound. I called her a diligent servant because she is, and to contrast her with the poor family. The diligent servant works hard, does her job, and earns even the extra she takes for her husband. The poor family don't really know how to do their jobs, consider the father's inattention while driving or the daughter's made up therapy, and they perform their jobs haphazardly.
The diligent servant is doing what she's doing because otherwise loan sharks will kill her husband. The poor family is doing what they're doing to make more money. The point is that the original housekeeper is behaving morally and picking the best of bad options. The poor family is behaving immorally by lying, getting people fired, poisoning the housekeeper, and stealing. Both are poor and only the main family is immoral, which again rebuts your interpretation.
The original housekeeper is literally lying to her employers, keeping her husband in their house in a secret compartment, where he steals food at night and terrifies their children? And as soon as this material security collapses, they become just as cutthroat as the other family.
The case of the original driver is ambiguous. At least to me, it was implied that the daughter concocted the scheme because she felt the driver was trying to find out where she lived because he was attracted to her. Most women I know wouldn’t allow a random guy to drive them directly to their house and especially if he had insisted on it after they asked to be dropped off somewhere else. This doesn’t justify pinning the fake “crime” on him, but to me, that was the subtext.
The family friend/original tutor is not desperately poor like the family. In the beginning of the film, he offers the friend the position because he’s going overseas and states his intention to marry into the wealthy family, both of which would’ve been impossible were he not well-off himself.
The mother doesn’t “have a lot” when she’s cruel to the dog, she’s feasting on some fleeting spoils. But the whole point of the film is that morality follows material stability, not the other way around.