Yes, but scale of countries like Bahrain doesn't make a dent. Also, in each of those countries Uber has a competition that is usually more successful than Uber. That's not true in Brazil and Mexico and that's why Didi is rushing there!
India is ripe for Ride sharing cabs. In major metros, OLA (specifically OLA Select) is the ride of choice for middle class youth. With free wifi and one hour work commutes common, the ola ride becomes time to get emails and secretarial work taken care of.