What was the Pearl, and is now in Hi, is/was owned by someone other then Disney. It was modified to look like the Pearl, then modified again for the latest Pirate movie as Blackbeards ship. Its no longer the Pearl. It also wasnt a true sailing ship. It was modified and had 2 engines to power it. This is from a HI magazine:
"The Black Pearl thats here for On Stranger Tides isnt actually a real sailing ship. Its a tall ship set constructed over the hull of another vessel, the Sunset, which once earned its keep as a service ship for Gulf of Mexico oil platforms. Fully motorizedand obviously able to handle its recent journey across the Pacific from California to Hawaii like a champthe ship set was also used in the second and third Pirates flicks Dead Mans Chest and At Worlds End"
The Dutchman, was built by the studios for the movies on a barge. It was in storage in Freeport when Tom McAlpin found it, and had it moved to CC.