Noone actually expects Basseterre to be inscribed, especially with such a horribly short document that sounds more like something taken from a brochure you picked up at the airport.
It is entirely possible to skip town. The "nice" resorts are to the east and the airport to the north. I stayed at a place to the west. Cruise ships are stopping right at the port though (with a second being built). I even took a bus into town, walked through the Independence Square area and then took another bus towards the airport. Was it worth it? Absolutely not, but no big deal because it is so quick to get it done.