React Native is excellent for web teams that are creating a new mobile app. If your team has more experience with React than native iOS/Android, then it's a no-brainer. However, in my experience you get diminishing returns once your app has passed v1 and your customers expect more after the new-ness wears off. You find yourself spending more and more engineering effort to make your RN app to feel as good as existing…
For me it isn't about look and feel so much as being able to quickly manage massive amounts of data for interaction and data viz. I use the ramda lenses, sagas, redux, and selector stack to manage state of the data. It is clean and quick to develop. Everything is memoized with selectors only changing if the reference to the object it is using on the state tree changes.
Nobody can work data the way I can with React. It makes sense.