We are sorry to hear about the issue you are experiencing as this is certainly a not expected behavior of the sample app.
Unfortunately, we were unable to reproduce the problem on our side. We cloned the sample app from the AppBuilder Desktop Client and deployed it to an iPhone 4S with iOS 7.0.4 - - the app serves as expected (screenshots attached). The sample also works within the AppBuilder Companion App.
Is the problem persisting on your side? If the answer is positive, could you please share more details on how to reproduce the problem step-by-step? Did you manage to test the app on another device/platform?
Further, as there is a known issue with the LiveSync feature for iOS
that could lead to the experienced by you faulty behavior, could you please try if the sample will work when deployed with disabled LiveSync
Thank you in advance.