Spain should not start celebrating just yet.
This case is just one strand of law being pursued by Spain and Odyssey that is not finished until the Supreme Court either hears the case or decides not to hear the case.
There is still probably many strands of law that Odyssey can use at the very last minute to start another process going for the next few years if they so wish.
This case has only centred on ownership, and as in many other areas of law ownership is only part of the story, (You may own a building but when the squatters move in its difficult to get them out as the squatters also have rights).
I am also sure that the countries that actually own the Silver could also interrupt the giving of the coins to Spain if they want to.
In much of International Salvage law both the owner and salvor has rights. Odyssey may be able to hold it up in the courts until Spain pay a salvage award (I believe involuntary salvage and the rights of the salvor and the owner is very complex).
Unfortunately Spain is only interested in the coins due to their value, they care no more about their heritage than any other nation and when it suits them like in Cadiz they are happy to destroy heritage for the sake of economic progress.
Crocodile tears from all the archaeologist is rather demeaning to others in the profession.
If they do get the coins back, they will be triumphantly displayed as a victory by Spain winning against a Super Power Nation (USA), they will then be photographed, small amounts will be distributed around a few museums and the rest will sit in containers in a store for ever and a day, with coins disappearing into the pockets of cleaners, contractors, and museum workers as they will always be difficult to count for control purposes.
Like they say the party is not over until the Fat Lady Sings.
I do hope Odyssey wins in the end, as it is immoral for Spain to benefit from other peoples efforts in recovering "abandoned" items from the seabed.
If Spain had been actively trying to locate or recover the coins I would have sided with them, but as with most marine archaeologist they wait until some other enterprising individuals do all the hard work before pouncing in for all the glory.
Long live Francis Drake, he would not have stood for any of this Spanish nonsense !