Yes Lyft has gained some marketshare in the past 6 months. But Uber still dominates the US rideshare market (Uber by public accounts still has greater than 70% Market Share). Uber dominates in several other regions (Western Europe, Latin America) and is competing in several other huge markets (India and SouthEast Asia). Uber also has significant stakes in the dominant ride hailing companies in China and Russia.

This is not to diminish what Lyft has done. They're successful company. But they are in no way seeing more long term success compared to Uber as of today

To be fair, this doesn't (I believe) take into account if traditional taxis are still dominant in some countries