You don't need to follow as there is no plot. Each room is a seperate scene. The pirate autioneing off women to be their wife, pillaging the town, robbing and so on.There are a few gags that carry forward such as the wife one pirate gets a wife from the auction who is then chasing him in the next scene. But generally the reason it works is you don't need to follow any plot, just enjoy each scene for what it is.
Similarly Jungle Cruise, while that is narrated, each scene still stands on its own, you can laugh at the backside of water, but then have no idea what is happening in the next scene and it doesn't ruin the ride.
All of this also generally applies to Haunted Mansion (and haunted house / Duel too) there is nothing huge that follows on from one area to the next.
This is also why I didn't really like Transformers, I had no idea what was going on as the ride moved too fast to explain the plot! Although strangely I didn't feel the same with Spiderman. Generally Universal's rides are a lot more plot-driven than Disney
I think with a new dark-ride at Thorpe it will be more on the Spiderman/Transformers style, but they need to remember to explain plot quickly and make sure you can just pick it up from what is going on. Whereas at Alton Towers, as they are aiming for a wider range of ages visiting they should keep it simple and do a dark ride with show scenes that doesn't need a lot of explanation.