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.

I was asked how to serve and here is the basic 4 steps. Please elaborate if you wish: 1) Open the bottle at the table 2) put the cork on the table, for people to see (they are not supposed to smell the cork or anything, just to see it (see Vinonet discussionboard on smelling corks) 2.5) if you want to be stylish, use a cloth dinner napkin to wrap around the bottle and use it when the bottle drips to avoid stains (red wine) on the clothes of the guests 3) Pour a taste (1/2 to one ounce) to the person who ordered or ask who would like to taste if you are not sure, but do not assume that it is always the guy 4) if the bottle is ok, that is the wine does not have cork or is too old and the person tasting approves, you start pouring the wine to the rest of the people, women first and men after that and the taster last. If the bottle is not OK, just go get another one.