You won't get the Sunday Times to write up your local store opening, but you might get them to write up your Web Page address if it is something new and interesting.
Even if the Sunday Times would write about your local store opening, you wouldn't benefit from someone in a distant city reading about it, unless of course, they were coming to your town sometime soon.
With Web page information, anybody anywhere who can access the Web and hears about you is a potential visitor to your Web site. More visitors mean there's more potential customers, especially if you have supplied them with the right information.