No matter what you do, a standard CO and BO will never look the same.
ALso, the BO stitch will always look flat.
Binding off is a two step process where you first work the sts from the L hand needle, and then you BO (pass a st over) from the R hand needle. Even if you work the sts off of the L hand needle in pattern (ribbing in this case) when you do the BO (pass st over) from the R needle it will create a flat looking st along the very edge.
That being said...
There are lots of different COs and BOs. You can look and you may find ones that you like better or looks more like each other.
Also, if you BO on the ws, that flat st/edge will roll toward the ws and be less visible from the rs.