Is a daffodil a garden shrub?

A shrub is a perennial, multibranched, woody plant which is shorter than a tree at under 20 feet tall.

A herbaceous perennial is a plant of very short stature (generally under 2 feet), which grows during 2 seasons, dies back and sleeps for two seasons, to return the next year.

A daffodil fits the description of a herbaceous perennial rather than a shrub.