Granted, but to me it's probably straining credulity if none of them intellectus-ers wondered 'why did someone make the Archive'.
Except that Intellectus seems to be kind of domain-specific. On the island, Jim can know everything
about the island, that he actively considers or thinks to wonder about. He couldn't ask about Ivy or the Archive.
And he doesn't know
everything about visitors to the island; in fact, he hardly knows
anything, really, other than their presence. He can notice footsteps, but cannot probe the details of the people making those steps. Rounding a corner to confront an intruder, he doesn't know if it'll be one of Binder's mooks, or a top-tier supernatural assassin, or something else entirely.
Whose Intellectus would cover the Archive, let them automagically know anything/everything about it? Whose even
could?
We don't know, really. It isn't something Jim has developed in the stories, spelled out in AMA's/etc in the WoJ's (AFAIK).