And Fluyts. Seen them in the Carib/Brazil/Ivory Coast.

Pirates do seem a bit over equipped. I'm in 1705 in a campaign and have captured 4 Admiral's 5th rates, 3 galleons, 1 race built galleon, 4 fluyts, 5 xebecs and a brig, not counting the 15+/- vessels I've put on the bottom including 4 more galleons. (mix of both types)

The only smaller "plausible" pirate ships I've come across were the brig I captured and another I sank. Everything else has been large vessels. (I won't count the xebecs since it's more of a regional thing, and while they have strong hulls they are on par with the smaller vessels in firepower.)

IMO numerous small single/pairs of ships would be a much better representation. Enough to endanger trade ships, and be a severe nuisance, but not enough to easily outfight a task force of 2-3 frigates in a single engagement.