Well I finally got around to watching this, and I have to agree with everything we already said about it. The show wasn't as bad as I expected, but boy do they dumb it down for the masses. It's really a shame, because they could have used the time to make it even more informative and still not lose the excitement. Instead, a lot of the show boiled down to:
"Pirates suck!"
"No, knights suck!"
They mentioned, and then completely ignored the level of martial arts training that a knight had. They put a huge emphasis on gunpowder-- while not entirely misplaced, these are also one-shot weapons that are unreliable, and can't be used at a moment's notice due to needing lit match-cord (at least for the grenades, and possibly the guns if they were match-locks, which were very common during the relevant period before flintlocks took off).
The simulation itself I bet is nothing but a bunch of random numbers generated against a bunch of made up probabilities based on their assessment of those weapon tests. Completely useless.
It was certainly entertaining, but as usual, the results have to be taken with a grain of salt.