Do you have questions or concerns about particular records or about the records (or lack of records) for a particular person or family?
If the actual original records still exist (some New Netherland records were lost after being transcribed), they are not digitized and available online. Regardless of that, I am not aware of doubts about the accuracy of the Bergen records transcriptions. In general, the researchers who did the transcriptions for the Holland Society were dedicated to the task of reading and transcribing the records that were created by Dutch clerics in 17th-century Dutch handwriting. (It's hard to imagine someone like me doing a better job than they did, with their accumulated experience poring over records, and presumably with a good bit of familiarity with the families of early Bergen.) The introduction to the first book of Bergen records (see
https://archive.org/details/yearbookofholla1913holl/page/n7/mode/2up and following pages) testifies to their meticulous attention to detail.
Concerns have been reported about the quality of the transcriptions (notably the recording of name spellings) of Flatbush church records in the Holland Society Year Book for 1898, but those concerns do not extend to the Year Books of 1913, 1914, and 1915, which contain Bergen records.
I would not rely on the index versions of Holland Society records for Bergen that may be found on FamilySearch -- because the FamilySearch versions often omit genealogically significant details found the more complete church record transcriptions in the year books. The Holland Society Year Books for Bergen are online for free, so there is no reason not to access them.
Members with experience working with the Holland Society or working in New Jersey archives may be able to tell you more.