For every additional driver, the density of drivers on a map gets higher. When this happens, statistically the closest driver will take X less time to get to you.
Two sided markets are not about having a minimum number of people.
The "traditional" network effect is describing one sided markets. But it is a normal economic concept to talk about the two sided network effect as well.
Think of it this way. In a 1 sided network, ever user type A makes it more valuable for other user type As.
In a two sided market every User A makes the network more valueable for User type Bs. And every User type B makes it more valuable for user type As.
> When this happens, statistically the closest driver will take X less time to get to you.
If everyone is spaced evenly around the place and there's no congestion, you need four times as many drivers to halve response times. For a while you get good gains per additional driver, but as the numbers increase the marginal benefit tails off. This means a new player with some capital can likely compete (and is probably what the grandparent meant by "saturation".)
The same thing happens from the driver's point of view. Each additional rider adds a marginal value to any given driver; there's only so many rides they can make in a given day.
In most two-sided markets, the ratio of users on both sides plays a more important role than absolute numbers.
Network effect is when each user brings additional users (or each user prevents other users from leaving).