Honestly, that’s exactly how aristocracy forms. The first generation are just smart/savvy/strong/cunning people at the right place and time. You can argue that the first generation actually deserves the wealth and privilege that they get, as they actually earn it through their actions.
Then they naturally want to preserve what they had for their families, so they set up power structures to ensure this. The second and third generations may be benign enough if you’re lucky. Further than that though, and you can argue that the aristocracy now in power has no moral right for their privilege. And they themselves are not exactly the nicest human beings given all the wealth and privilege that they just happen to be born into. The original dynastic founder is now just a legendary figure.
And I don’t really have any good ideas how to counteract that apart from giving away everything to charity and making my kids poor before I die. Which is something I won’t do.
