This is not a documentary of the whole siege however (the run time might fool you). I would watch this just because there is little else on Port Arthur. There is a lot of saber rattling and Banzais, but there are some subplots away from the war. The recoil on the cannons are nonexistent (which becomes rather laughable when you see the 28cm guns fire).
The deaths are overly dramatic and as stated above, there is ketchup blood. Russia and Japan had made a treaty before the war, but Russia kept encroaching on more and more land in violation.
In that way, the Russo-Japanese war can be see as a defensive action. Japan concluded that it would have to begin colonizing like the European powers in order to become more power such that they would be free of foreign influence. They saw what was going around with Westerners essentially turning China into their play thing and meddling as they wished in East Asia. At the time, Japan had been forced open to foreign influence by the Americans in the mid 1800s. In response to the 'Why did they campaign in China?' review.