Nah, the platforms over the spikes are easy. The big deal is the part right before that, where you have to use the springy floors to aim yourself at an opening of one tile wide, and if you miss you're hurled into the springy floor above and have to start over that part again. This part of the level is not affected by difficulty as far as I know, except that on hard and turbo you'll lose a life if your timer runs out.