Are local and push notifications addressed the same way when submitting to the App Store?

My application keeps getting rejected for submission to the App Store because they said it's using push notifications even though the notifications are local and completely automated from inside of the application. These seem like big differences to me. Are push notifications and local notifications addressed the same way when submitting to the App Store?

Are local and push notifications addressed the same way when submitting to the App Store?
 
 
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