Well, from Icy's statements, I'd give this a "no" as well, but for the sake of argument, let's give this example:
odian0 makes the video
Dramatic Soup, as a means of showing that an over the top video can be made with a calm and/or boring anime. This video turns out pretty great.
He originally got this idea from
Heading for a New Century, supposedly also a dramatic video made to a 'lame' anime. This is also a great music video.
So, if you do it right, who's to say that a slow-paced anime can't be paired with an upbeat song and come out as a kickass AMV?
You'll never know 'til you try. Do the first twenty or thirty seconds. If it works for you and you like it, run with it. If not, scrap it. It's as simple as that.
Whatever you decide, good luck! ^_^
- Jen
PS: *just realized that Icy's avatar winks* ..........