The words rich and wealthy are not synonyms to me. Rich is more specifically money or its absolute equivalent. Wealth is rich plus class relationships. My and several other scales, consider rich to be $1,000,000 net or more with access to a significant portion in cash quickly. To be wealthy requires functioning relationships with several other wealthy individuals and they generally require $10,000,000 minimum, typically much more.
We happened to be in Sun Valley at the same time a meeting of the very wealthy and financially powerful happened. It’s fairly regular there. Hailey has the airport. Normally two or three corporate jets are parked there, just N numbers showing, no logos. During the private gatherings there were over 40 business and regional jets, 20 to 40 passengers, parked there. If you were late no more parking was available and your jet had to fly back to Idaho Falls for parking. These jets have very small N numbers on them, too small to meet regs I’m sure, and no other markings. One more note of many possible: We were shopping for a cabin and visited a realtor; she had substantial knowledge of the meetings. There was a cabin for sale; we drove by to see it from the road. Its roof was copper panels about abut 4 x 24 ft. Each was unique because the peak had a complex curve. There were several buildings on its grounds; one was a theater for 75. Our guess is that the seats were plush too. That is a cabin for the wealthy, not for the rich.
This is why I selected "It takes much more to impress me, and it needs to be liquid."