Brian, You are talking about dressing the wheel, then you are talking about depth of cut. Are you saying calling that the amount that you are advancing the diamond into the wheel? I have never heard of the practice of plunge dressing from the center, then to the sides.
Dress from one side the other, very light cuts of the wheel cause the grains of abrasive in the wheel to smooth over. Just like when you use fresh sandpaper then it dulls. Grinding wheels can very, greatly, in composition, bonding material, hardness, grit, ect, just like what has been discussed with pedestal grinders, just more so.
When you dress, you do not want to pass the diamond back and forth across the face of the wheel for a grinding pass. When you are truing the wheel, you obviously will have to. After you have dressed your wheel, take a piece of paper and push it into the face of the wheel, while it is running. This will clean the loose dust and very small particles from the face.