Should She Approach Him

Here's a scenario I recently heard about. Three women friends went to a nice restaurant for dinner. Two of the three women was single. They choose have a cocktail in the bar area until their table was ready. They observed a single man sitting at the bar apparently waiting for someone. One of the single women told her friends that she thought the man was attractive looking, wasn't wearing a wedding ring, and his date must have been late because he kept checking his watch and turning around frequently towards the door. Her two friends suggested that she walk over and tell the man what she surmised and hand him her number to call her if he is looking for a date in the future.
She said that's totally inappropriate. A lady doesn't approach a man unless they are properly introduced. "What would he think of me if I spoke to him in the manner they suggested?"
What do you think? What we might have here is an example of generational attitudes. In my opinion, I think a younger woman would be more inclined to approach the man and tell him what she observed, hand him her number and ask him to call so they can get to talk about getting together. Post your comments.