But then again, the phrase "Come On Down", as recalled by millions of American tv viewers, has absolutely nothing to do with sex or romance.

Especially when it is prefaced by a person's first & last name, that phrase more than likely brings to mind the announcer's statement on the television game show "The Price Is Right". On that long running program, "So and so, cme on down!" is an order for that person to come down to the front of the audience and join the other four {or is it five?} contestants who were previously called to play the game of guessing the price of a featured piece of furniture, or car or whatever.

Which just goes to show you that trying to guess the meaning of a phrase gets tricky without knowing the context when the phrase is used.