The full name is "severe acute respiratory syndrome coronavirus 2".
It is not mild, nor has it ever been. They don't call it MARS-CoV-2. It would be a very confusing name anyways because we live on Earth, not Mars, btw. And I don't think the Martians would appreciate being unluckily associated with this virus.
SevereSmollbean Acute (it's cute :3) Respiratory Syndrome - Coronavirus - 2