Nope they got it right apparently see below. There appears to be a distinction between witch hazel from just the leaf of the plant and witch hazel from the leaf, twigs and bark of the plant.
Scientific Facts:
Hamamelis Virginiana (Witch Hazel) Water is obtained from the steam distillation of twigs, bark and leaves of the witch hazel plant, Hamemelis virginiana. Hamamelis Virginiana (Witch Hazel) Leaf Water is obtained from the steam distillation of leaves of the witch hazel plant, Hamemelis virginiana.
Scientific Facts:
Hamamelis Virginiana (Witch Hazel) Water is obtained from the steam distillation of twigs, bark and leaves of the witch hazel plant, Hamemelis virginiana. Hamamelis Virginiana (Witch Hazel) Leaf Water is obtained from the steam distillation of leaves of the witch hazel plant, Hamemelis virginiana.