Yes there is a difference. The M20J that I used to get my complex was trickier to control down to the cusp of the stall. It kept my feet busier than in my 172. Most of the higher performance airplanes are like this - designed for low drag rather than forgiving stall characteristics. Slow flight can be done safely but it takes some practice. Doing the slow flight training in the M20J definitely made me a better safer pilot in that airplane.What are the stall characteristics of Malibus, Cirruses, Barons, TBMs…? The previous standards were written when very few pilots went through initial training in high performance airplanes. The mere fact that they wrote the Light Sport standards after the Private standards were changed indicates that there’s a difference.
Whatever someone flies, mastering slow flight in that airplane is a good thing. If it's a high performance airplane having more challenging stall characteristics, even more important to get that slow flight training. Those who fly high performance airplanes should hold themselves to the higher standards necessary for safe operation.