Should missed messages be loaded back in app?

Hey folks, new user here. I have the Android app installed and paired to a t-beam device. I noticed that I’ve been able to miss messages on the app that my t-beam will still catch. They show up on t-beam’s screen, but not on the phone app. I’m assuming that maybe my permissions of not giving the app permission to function when it’s off or my phone being out of range was the culprit . But I was kind of expecting that once I opened up the app and was within distance of the t-beam, I’d have the message appear in my phone app.

Am I smoking fairy dust, found a bug or just wishful thinking?