New Netherland Settlers guidelines now are to use the version of the LNAB from the earliest record, so the Church Records from after the emigration or preferred and if possible of course a Baptism or Birth or other records from before the emigration.
The 'van Schoonhoven' for the earliest ones just is saying they were from the place or area Schoonhoven.
Patronymics are not so hard, the only thing that is important in a Patronymic is the first name of the father (or mother Metronymic), the ending or way how it was written could vary:
1. Due to the inconsistency in writing those days (they wrote phonetical, so how a name was understood by a clerk it was written)
2. The ending of the patronymics mostly depended on place and time, but the ending always is in fact just an abbreviation and only saying the child was a son (from early to later it's abt. - heer Janssoen, soon or sone, -soon, -soen, -s, -sz, -z, -ss, -sse,-zoon, -zn, -szn, -z, -sen) or daughter (-heer Jansdoghter or dochter, -doghter, -dochter, -dr, -s, -ssen, -sse, -sen and sometimes for daughters it also just could say -sz, or -z) of a man named for example Claes (Claes was the older spelling, Claas or Klaas the more modern one). So the ending is not really the most important part of a patronymic, it's the first name of the father (or mother-Metronymic) or the farm or any other type of original and most early last name, that is important see: Naming tradition Farm names Dutch Roots Naming Convention
The risk of using later (backwards projected) last names, is that the original first name of the father (mother) or the most early and original last name (farm, etc) is somewhere down the line going to be lost.
Why we try so hard to preserve these original first names of parents (Patronymics) or the earliest and most original version of a name (first name of father, farm or any other type of last name) and why preserving and protecting those is so important, is because it often is the only thing we have that can help us all to trace them back and (hopefully) find their even deeper ancestors.
Hmm just noticed this was an old thread, but well ;)