We stayed at the Palace Hotel Vieste just one night during March. It was the off season, the hotel was not at all busy, and the lobby seemed dark and lonely. Our room was not as advertised - we requested & paid for a "junior suite" but the room we received was clearly a single. Trying to discuss this at the desk did not do much good, and since we were only there one night, & we had already received a discounted price through Venere, we didn't fight. Still, the room was large by European standards, and very clean.
