React and OnsenUI work great for cordova apps, there are a couple things to keep in mind when working with Cordova Apps.
Since Cordova Apps load from the file system they do not work great with absolute urls, they use relative urls, which means
<script src="/bundle.js"></script> will not work as you might expect when using a web server. Since the root file system ofdevice is not where the files are located. You can resolve this using a relative url.