Perhaps the producer wanted it that way, and if he could give it to them the way they wanted it, then kudos to the drummer.
However, would I actually buy this recording and enjoy it in my car? No. The drumming is too disruptive to the rest of what the band is playing. If the song was completely rearranged to be something else, like if they made it a mambo, or reggae, or big band swing, then ok, the drumming will be different because of the genre. But the band isn't playing the song any different, and the song isn't much different from the original in feel.
It's funny, because when I hear Weckl or Colaiuta (or any of our masterful players) do the busy thing to songs they play on, it's so dang musical and it comes across very cool. This one did not give me that feeling.
The one thing the video was missing? Smiles all around from the players. They were so stressed having to concentrate on the time because they certainly weren't getting it from the drummer. Next.