It would be smart to have the video content personally reviewed by an IP professional before challenging the copyright holder's claims to rights in the material.
The Copyright Act's section 107 (the source of the "fair use" defense) does permit certain uses of copyright-protected material. The permission granted unauthorized users can extend to copyrighted works used for teaching purposes, for news reporting, as part of scholarship or research activities, and in connection with criticism or comment on the copyright-protected work.
But each of these areas where fair use might be considered a defense to an unauthorized use would be analyzed on a case-by-case basis. You really don't want to end up in court for this analysis.
It is always smartest for a person to get permission from the copyright holder to use their work rather than rely on fair use to protect the use from a court-award of damages. Because statutory damages range from $750 to $30,000 per infringed work (or up to $150,000 per infringement for especially egregious infringement), it can be a costly risk to use someone else's copyrighted work without authorization.