The album is really the most important, not the trailer.
Yes. Obviously. No one is arguing that. But that doesn't make the trailer better or worse.
It isn't as bad as you put it. I think your overanalyzing it.
All my comments with opinions on the trailer:
"A cheesy mess." It's most definetely that. It's cheesy, and the way they mixed the narration over the music makes it messy and hard to focus on.
"It's funny." I and several others found it funny. Some say in a good way, I say bad. Not too harsh.
"A bit cringe-worthy." Because they seem to be taking it all so damn seriously that when it's presented in this funny way, it makes me cringe a little.
"Music sounds fine."
That's everything I've said about the trailer. More negative than positive? I guess, but not at all what I would call "overanalyzing". And I liked the actual music in it, which is what counts as you yourself and everyone else here has stated as well.