Looking at this family, it seems to me that the solid profile at the center is Damaris Unknown-191935 (and Sibley-70 needs to be marged into Unknown-191935). We don't know Damaris' LNAB. We don't know who she first married or where. We do know that once in New England she appears with 7 children with LNAB of Shattuck, of whom 8 are linked to her profile.
We can assume that her children had a father named Shattuck, but we don't actually know that. Much less probable, but within the realm of possibility, is that her own LNAB was Shattuck and she had all seven children out of wedlock. But that is just to say that even our assumptions about where the name from could be false, since there is no documentation.
If I were creating the profile from scratch, I would not create a profile for her children's father; we simply know nothing about him. Since there is already a profilee, and existing profiles are hard to get rid of I would go with the suggestion to make him Unknown Shattuck, but I would de-link him from his father, and delete the birth and death dates, which are unsourced, retaining just the quote that documents that we know nothing about him. Well, there needs to be a birth year, so it should be estimated from the birth years of his children (see below.) And the way it was estimated described.
While the cited American Genealogist article does not give birth dates for the children, approximate birth years can be calculated and estimated from the other dates. Since Damaris was necessarily present at their births, these estimated dates tell you a little something about Damaris' life. Presumably all these estimated dates occur prior to her marriage to Gardner. If the children were all born in England, as is suggested, then her immigration would have occurred between the last birth and the marriage to Gardner. That gives a set of dates to search for immigration and ship records, which might give further information such as place of embarkation.
This all goes far beyond whether a first name should be deleted -- yes -- but I would hope that more research would be done. A woman alone in the New England wilderness with 7 children. How did this come to be? What did she have to do to cross the Atlantic? How did she find food and a roof until Gardner came along?