Several months ago, in private discussions with Ben M. Angel, when collaborating in “repair jobs” after some merge, I think we came to this same issue and reached the same conclusion.
As additional support of the existence of Annetje as Aucke’s daughter:
In page 7 of Van Nuys Genealogy – (A Record of the Family of Isaac Van Nuys AUTHOR: Carrie B. Allen, PUBLICATION: 1916 (the text of page 7 is already in the “About” of the profile of Aucke).
The text names his three wives and nine children, same as Teunis Bergen in 1881.
You can tell their documentary sources were different as there are variations in the spelling of the names.
Issue according to Bergen - Issue according to Allen:
Annetie or Anneken - Annetie
Geertruyd - Gurtruyd
Janneke - Janneke
Jan - Jan
Abagail - Abagail
Pieter - Pieter
Jacobus - Jacobus
Femitie - Femitie
and (sup.) Yda - and Ida
Besides, in Aucke's profile (in "Souces"), there are several additional documentary support to validate your conclusión.