What I meant by turning away from the side wind is that since Cubs have such a small vertical stab and such big wings, the drag up front is more than the drag in the back. Therefore, the plane will naturally nose away from a side wind and then go into a sideslip stall. At least that's what my Hangar 9 Cub does. Trainers and most sport planes have a bigger stab to wing ratio, so they tend to weather vane into the wind and not stall that way.
I have to disagree about Cubs being good trainers also. Yes, they were pretty standard for pilots learning to fly back in the 1940's. They were among the easiest planes to fly at that time, but that doesn't necessarily translate to them being easy models to fly now. Between the ornery ground handling characteristics, the aerodynamic issues, the enormous wing that wind gust just love to grab and toss, and the lack of any self-righting characteristics, Cubs are not trainers. We had a pilot a few years ago in club training who insisted that he was going train on a Cub. The instructors advised against it, but agreed to teach him. I would estimate that his time to solo was extended by 3-4 months due to his plane choice, because the frustrations of a new pilot flying a Cub kept him from learning basic technique.