Is there a way to browse Factbook?
I think that you suspect the answer will be "no". One can browse a dictionary or a lexicon, but Factbook compiles articles from a number of datasets.
Aaargh ... I'm trying to find people who may be in Factbook under other names/spellings ... and I've already shown that alternative names are not always present on a record. If I could scan a list of the entries that exist, I'd have a chance of guessing what Faithlife did.