No, not really. To say that almost all shoes are made of corrected grain doesn't help in any discussion about CG and other types of leather. And there are major differences between CG and other sorts of leather. This is not snobbery but just to say that different types of leather need different types of care and have different characteristics. Tell a bespoke shoemaker that his shoes made of calf leather are much the same as those made of corrected grain won't win you many friends.
I know opinions on this guy and his company vary, but it was the best reference I could quickly pull up:
The diagram on the different layers of leather should be helpful. As I understand it, you can emboss full grain leather. So a pebble grain from the grain layer would still be high quality. Corrected grain is where you take something from corium, sand the surface down and spray a finish on the top. Here's what happens when that finish inevitably cracks and starts to fall apart: