What an aggressively silly discussion
Zapp: The Recall Knowledge skill is written to allow a character to recall a specific piece of information, it's very much designed for the player to have an idea of what question they need answered when they use it, which naturally prompts the GM's response.
When your player says "I want to recall knowledge on the Golem" that isn't enough information, so you would ask "What do you want to know?"
and they might answer:
"I want to know if this creature is resistant to anything"
"I want to know what kind of attacks this monster has difficulty avoiding" (or more directly, "I want to know it's lowest save")
"Do I think this creature would actually eat a child?"
"What kind of spells is a creature like this capable of casting?"
or any other contextually useful piece of information they might need.
If you play it this way (which is RAW, from having just read the recall knowledge activity) something like Hypercognition doesn't become an exercise in random improv,
it just allows the character to check out the creature's stats in a very efficient way. This applies out of combat as well, though hyper cognition is less useful because there's no time constraint:
"How did this once powerful civilization fall?"
"What Gods are worshiped in this land?"
"Is the King known to be an honorable man?"
"What's causing her illness?"
You
can use it without the plaer asking for a specific piece of information, but then its up to you what question you're answering- this is the generalized knowledge check you're used to where you just write a little blurb next to the object that you suspect will trigger a check, and the player doesn't have any input on the nature of the information they receive.
Critical Failure and Dubious Knowledge just mean you lie:
"You've heard the King referred to as Javier the Fair"
Truth: This is propoganda, the people call him 'Javier the Cruel'
Knowing the correct answer generally means you can identify an immediate and obvious lie that you can tell (it's literally the opposite of the truth you would have said on a conventional success)