Minor comments:
You allow the person who ordered the bottle to examine it. The person may want to read the label and see what is ordered. You do this before opening the bottle. You also present the bottle in a way that allows the person to actually take it if he/she so desires, but you are not going to push it under their nose.. You place the cork on the table, but within reach of the person who ordered the wine, or is obviously in charge, or if in doubt ask. The purpose is to allow for examination of the cork. You are right, not for smell, but for reading what's on the cork and allowing comparison with what's on the bottle label.
You always want to use a cloth napkin wrapped around the bottle or placed over your arm, regardless if it is red wine or white wine. Nobody wants wine on their table or cloth.