so these days, most wheels wobble. I don't know why. I use shims on the sides of the wheels to help with that. I cut moons out of index cards or paper. it balances the wobble out quite a bit. if you get it close it won't matter.
I would say forget the coarse and fine.
just go for coarse. The question is what are you grinding. if HSS get a white wheel, if mild steel get a gray wheel.
if only HSS get a white wheel, and a scotchbrite deburring wheel.
I'll have to look at my white wheel, I have both coarse and fine, but don't use the fine. I don't know what grit the coarse is, so I'll look in a while.