Flutter looks pretty different from React Native on one side and Cordova/webview based frameworks on the other side. Flutter is not based on webviews, but is also not using the native widgets but instead rendering custom widgets.
To me, this is a little weird. One of the downsides of Webview based apps is that it's harder to align with the native OS look and feel. React Native solves this problem, but Flutter clearly has the same problem.