Rich is not a requirement for travel. You can swim across the Atlantic ocean from Venezuela to Venice and that is travel. Zero dollars spent because it costs no money to swim. It does cost energy, time, and effort. But that is not what rich measures. Rich just measures money.
Rich enough to fly is still a stretch. You can get $20 flights on budget airlines around Europe. $20 is not rich.
Rich enough to fly long distances is still a stretch. When compared to others on the plane, you are likely of the same SES (socioeconomic status) or less.
Rich enough to fly non-economy long distance is when the word 'rich' begins to carry more meaning. However, these people at the front of commercial airlines are still poor in comparison to the next group.
Rich enough to buy a jet and avoid all nuisances of commercial flight is when the word 'rich' means the most. Of course there are levels above this as well but such levels are irrelevant to this discussion because nobody will care to read much longer.
I tried to make this a very long writing. I filled it with useless fluff so that you would continue to read the worthless text that I continue to write. And I am still writing! When will you stop reading?