In addition to an ocean, I think Southern Oaks is missing most of the other attributes of a true Links Course.
"Links" courses usually rely on "mounds", hills and changes of elevation (dunes) and quirky, difficult greens.
Maybe some similarity to a "heathland" course?
If you would like to play a real "Links Style" course, that doesn't involve an ocean, I think Streamsong Red is the one. BTW, they just announced a Rate drop for FL residents, that I think begins on May 19th. $189 for non-guests, I believe.
5 Different Types of Golf Courses
Here are the 6 different types of golf courses, explained
What is Links Golf? (Links Golf Courses, Explained) • Honest Golfers