IMHO, ubiquity, especially when traveling, will ultimately be the winning move.
Many of Uber’s customers are price sensitive. The minority who are not price sensitive are more likely to (be able to afford frequent) travel, but I fail to see how loyalty from this segment will translate into profits over the long term, especially since their international presence in multiple but not homogenous markets is a bet that economies of scale will yield a handsome pay off, where it clearly hasn’t as they had to pull out from direct competition in China for instance.