I think the video is a bit too narrow. The scientist can also have a lack of open mindedness too. I haven't turned my back on the existance of the supernatural. I think a true open minded person allows for the possibility.
Before you generalize scientists, please make sure you're not misinformed. It's like people saying JWs don't believe in Jesus. (I always hated that!)
[EDIT: Okay, sorry, NVL made a good point that you used the singular form. My bad. Yes, any individual in any group can lack an open mind.]
While I could be wrong, I'm not aware of any reputable scientists stating that the supernatural world is impossible. Improbable, yes, but not impossible. Even Richard Dawkins writes in such a way as to leave an opening for evidence contrary to his current belief, should it ever be presented. (ie, Why There Almost Certainly Is No God)
Here's how one philosophy site describes open mindedness...
"The trait of open-mindedness is best understood as a disposition, rather than a current state of mind. It's not about what beliefs you actually have, but how open you are to revising them in appropriate circumstances. It requires the true humility of self-acknowledged fallibility. It requires that our minds be open to new evidence. But this is something very different from suggesting that we should be indiscriminately accepting of any and all viewpoints. That's not open-mindedness; it's gullibility. Rationality must remain as a filter.
Open-mindedness means that we will acknowledge the possibility that new evidence could in the future lead us to change our mind. But it doesn't preclude our drawing reasonable conclusions in the present."