Unlikely to bury a person.
Small avalanches are relatively harmless unless they drag you into trees, rocks, or gullies. They are unlikely to bury a person on a planar slope. A typical D1 avalanche would fill an average apartment with less than a meter of debris (less than 10 tons of snow) and runs the length of one or several buses.

These small loose avalanches are harmless unless they pushed you over cliffs. Credit: Crested Butte Avalanche Center