React Native framework which is developed by facebook is been extensively used by mobile developers which is a cross development platform which can support both android & IOS. Mobile Applications...
This looks to be more an issue with how your application is developed. My guess is there is an invisible overlay hiding the objects you're attempting to interact with. Appium I believe just fires the click/keys event listeners on objects, where as test complete is attempts to replicate real user interaction.
Is there any chance you can work with your developers to see if they can layer the indivisible layer on a lower z level than the objects you're attempting to interact with?