They do make a little bit of sense.
They're both "Celebrities" so naturally they would have a persona that's just there to appeal to their fans.
However the series does it's best to as little as possible of their real persona's.
And Japanese kids love catchphrases apparently which is great because a few Japanese fans keep writing that the series isn't doing that well. In response to that Appmon is switching time spots on TV soon and launches new merchandise.
We can probably expect a tonal change in the series soon, similarly to how Xros Wars changed after episode 30. I pray to god that we will get a evolution song with this. This chipmunky name repeat crap during app gattai is by far the biggest issue I have with the series right now.