Which of the following accurately reflects the history of the Cayman Islands?

The history of the Cayman Islands is marked by a range of significant events and settlements, but the statement regarding the islands being first settled by Europeans in the 1600s accurately encapsulates an important aspect of their historical timeline. Following their discovery by Christopher Columbus in 1494, it wasn't until the early 17th century that European settlers, particularly from England, began to arrive and establish a presence on the islands.

The other options represent different points about the islands but do not present the primary historical narrative. While Amerindians inhabited parts of the Caribbean, there is limited evidence to suggest they settled long-term in the Cayman Islands specifically before European contact. The British influence did grow significantly in the early 19th century, but the British officially claimed the islands as a colony in 1670, making the timeline relevant to this history rather than a later century. The association with piracy is historically correct but does not represent the primary purpose of the islands or highlight their role in terms of settlement or culture, thus making it a less accurate option in reflecting the broader historical account.