Remember - this is only the first part of Eureka. It's the Wind-aspected portion of the island (Hence the name "Anemos" - greek for wind). You can see the Ice, Lightning, and Fire aspected sections in the distance from higher vantage points in the area.

Its very likely that the FF3 Eureka music will be used either for one of those parts or for the final part (which is likely the castle at the center of the island).