i was pretty irked by the appearance of these ships and the shuttlecraft (they went through the effort to modify it, they could've gone a little further), but my assumption was basically the point you're making. also if you look at the credits, the production team isn't the picard team, it's the discovery team (tamara deverell did the sets, gersha phillips did the costumes, etc), so it might be a matter of which team was producing this and when. the picard series proper has a longer lead time, this was done quick and cheap, might explain a few things.
They didn't even bother to use any filmed footage of Stewart for Picard - which I think should show you how little the two were actually integrated.
Though honestly that might have been in an effort to not pay him for appearing in the short.