And according to wikipedia, adventure still awaits:
The wealthiest part of the ship, the stern castle, is yet to be found.[4] Still missing are 300 silver bars and 8 bronze cannons, among other things.
The site of the wreckage of the Atocha, called “The Bank of Spain”, (a sandy area 22 feet deep and within 200 yards of the anchor location),[5] is still being worked on and treasures are slowly being recovered.
Diving on these shipwrecks can go on for a long time if the area is what the archeologists call an "exploded site".
That is if the remains are spread over a large area.
The wreck of the pirate treasure ship Whydah Gally has been discovered close in on Cape Cod and one of the archaeologists who has been diving on it for 20 years , recovering gold and silver and cannons etc says it will probably go on for another 30 years.
Unlike the Florida shipwrecks the Whydah is under 10 -30 feet of sand and is slow work. - Tom