You can use this API to set any particular view as private so that it is always hidden in screenshots.
view.instabug_privateView = true
view.instabug_privateView = YES;
//Should be added in the activity with the view, takes any number of views
Instabug.setViewsAsPrivate(view1, view2, view3);
//Add the following tag to the view you'd like to hide
<Text ref={c => this.textView = c} style={styles.welcome}>This is a private view!</Text>
//Then call the following API
Instabug.setPrivateView(this.textView);