I've seen the Barham explosion footage used in documentaries on WWII in the PACIFIC on the History Channel.
Any really cool looking footage is in danger of being used for incorrect purposes in bad military history documentaries.
You are certainly correct about footage. And it isn't just in documentaries. In 7th grade, our world history textbook had a painting of the Battle of Midway. It captioned two heavy cruisers as Battleships defending USS Yorktown. Having done a paper on what I dubbed "Japan's Blitzkrieg", it's 6 month run from Pearl Harbor to Midway, I was appalled. USS Astoria and Portland were treaty heavy cruisers. I pointed this out in class, only to have teacher suggest that I spend as much time on my penmanship and grammar. 22 years on, I still remember this. That and the dot-matrix printer catching fire on a 25 page paper.
The Astro-Hungarian battleship SMS Szent Istvan sank an unbelievable number of times during World War II (and just once in World War I).