The two Lindberg "pirate ships" are reissues of old kits. The "Jolly Roger" is a reboxing of the French 18th-century frigate La Flore, and "Captain Kidd" is the 17th-century German ship-of-the-line Wappen von Hamburg. Neither of them, frankly, is believable as a pirate ship.
There is, of course, virtually no such thing as a pirate ship that was built for the purpose. (I can recall one character, Steed Bonnet, who had a vessel built with the deliberate intent of taking up piracy, but that was an extremely rare example.) Pirates generally took their ships from somebody.
The ideal representative pirate ship, I guess, would be a fairly small sloop, schooner or brig (one or two masts) from the early to mid-eighteenth century. So far as I'm aware there is, unfortunately, no such vessel currently available in the plastic kit market.
The plastic sailing ship world is almost dead at the moment. There have been almost no genuinely new kits in that category for about twenty years. The existing ranges have many, many enormous gaps in them. This is one.
Sorry not to have been more helpful - or optimistic.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.