I've flown and taught civie square patterns as well as military racetrack circuits, and can tell you that the constant AOB xwind and base turns are superior. Better in terms of traffic flow (by a long shot), and easier to teach glidepath control/energy management.

GA has a lot of advantages over military flying, the landing pattern ain't one of them.

-You can check final approach in a turn.

-Nobody on this forum invented either the square or racetrack landing pattern. All of us have adopted the techniques we learned as a student as if we did. Try both and learn the pluses and minuses of each one. You'll be a better pilot for doing so.