It's interesting to view it that way. I was actually thinking the opposite - that if the wealthy people own almost all the coins then it will become completely obsolete (simply because the coins aren't being used and because what drives something to rise in value is popularity, only a fraction of the world's population is elite wealthy). I would think we would go with another cryto far before that happened though.
I don't think that this situation will look different for other mainstream cryptos.
All popular cryptos will attract rich people. It is likely that the distribution of all those cryptos will look like the same.