Vox veritas is right you need to know the source of the information on this shipwreck.
It is also possible that the ship did not sink but may be reordered as missing, there are a number of accounts in shipwreck books of ships sinking that were captured. Marx books are full of them, were reference to shipwrecks in different years with different names are all the one shipwreck.
Although, Many French ships were called after shrines to the Virgin Mary and in particular the shrine of Notre Dame de la Deliverance, near Caen, it was one that sailors prayed to, there are many stories of French ships in peril surviving after the crews prayed to the shrine of Notre Dame de la Deliverance, they believed the shrine had the power to save ships from shipwreck. Possibly the ship was replaced with a new ship of the same name, built for the same route or it may have been recaptured.
I would say who ever went after this has researched it and has their facts right, the previous ship that was captured merely confirms the wealth of treasure that was being shipped during this period in history.
I can't see how Spain or France could legally stop a salvage, Spain has abandoned the cargo, if they don’t intend to salvage the ship, then they can salvage the cargo, the cargo is at risk.