Cultural and Literary Reference: The term is most often used when discussing mythology, traditional festivals, literature, and art. You won't hear people referring to their pet rabbit as a “玉兔.”
Branding and Naming: “玉兔” is a popular and auspicious name. It's used for brands of mooncakes, traditional medicine, and artistic products. Most famously, China's lunar exploration program named its robotic lunar rovers 玉兔号 (Yùtù Hào), or “Yutu Rover,” directly linking its modern scientific ambitions with its ancient mythology.
Artistic Depictions: The image of the Jade Rabbit is a common motif in paintings, lanterns, paper cuttings, and other crafts, especially around the Mid-Autumn Festival. It is almost always shown with a mortar and pestle.
Connotation: The term carries a universally positive, gentle, and slightly poetic connotation. It evokes feelings of wonder, tradition, and purity.