Yes, Aristotle was born into a more privileged family, but I'm not sure if it's accurate to say that he was rich. However, his financial conditions and the fame that his life's work brought him seem to have had the opposite effect of what you suggested. There is a painting by Rembrandt that represents exactly this. The painting depicts Aristotle with one hand holding a chain of gold and the other hand resting on a bust of Homer. This represents his internal struggle between embracing his eternal legacy, like Homer, or embracing momentary pleasures and riches.
Statements that end in "nothing more" are almost always incorrect. The only way one could make such a statement with total certitude would be to be omniscient, as the phrase implies an exhaustive understanding of all possible facts.
