Although it mainly depends on the pilot, all trainers fly generally slower and because of that and the high wing and dihedral may seem to get bounced around from high winds more. My experience is from flying a LT-40 and Kadet Senior and from watching others fly trainers and they all exhibit this tendency and one isn't really better than the other.

On the other hand, just because airplanes like your Pulse 40 fly faster and seem to knife through the wind better, they are also more responsive and quicker, thus they require faster reflexes and responses ie. better piloting. Inexperienced pilots trying to fly faster more aerobatic planes are more likely to have 'mishaps' like the one you did. Often there isn't much left to them after such mishaps.

Learning to fly your new LT-40 in high winds is good practice and once you master flying it and can do rolls, loops, figure eights, nice take-off and landings etc. repeatedly you should be ready for a good second airplane as long as it's recommended as a second airplane and not an advanced one.

Happy flying!!