And the word does appear in the Bible but gets translated “screech-owl”, though not in reference to any “first wife of Adam” nonsense

Everyone discussing Lilith is discussing the "first wife of Adam," not a screech owl, so it's correct to say that person is not part of the Bible.

Lilith is mentioned in a Mandaean magic incantation inscribed in Mandaic on a c. 7th-century Late Antiquity lead amulet designated "BM 135794 II",[100] where she is mentioned together with other demons, in plural form. The first of the charm's text consists of a banning formula that calls for the binding, subduing and destruction of various demons, mentioned by name in plural form, and also talks of the demons of time walking about and harming "the children of Adam and all offspring of Hawa (=Eve)". The lines of this formula are repeated near-identically about three times, with Lilith's name, in plural, appearing in the formula on lines 27, 46 and 55, in the same near-identical line "Sahras, Dews, Rhuas, Humartas and Lilits."[101] At lines 70-100, the banning formula of the charm ends and is taken over by a Mandaic magic story that tells of a gnostic tree made up of different demon groups and of a "Dew" demon dwelling in the tree being cast out of it and expelled from the tree by the archangel Gabriel. In this part of the charm, Lilith is mentioned as a part of this gnostic tree, again rendered in plural.[102]

Mandaenism is a gnostic religion.