When the first Hyundai Tucson arrived here in the U.S. in 2005, it shared a lot of the design cues seen elsewhere in the Hyundai lineup, including exaggerated wheel arches and a creased hood.

Hyundai’s bestselling vehicle is the bold-looking and capacious Tucson. This generation of the compact SUV was new for 2022 and receives a refresh this year. It slots in Hyundai’s crossover ...