Need to refine this more. What do we mean by "appropriately process"?
Classically, this has been studied in cognitive science in terms of Spontaneous Analogical Transfer: that is, given that we know you have encountered some piece of knowledge that we know is analogous to your current problem, how likely is it that you will correctly notice the mapping and transfer that analogy to solve your problem?
In general, this is a hard problem. It's quite tricky to get people to benefit from analogical inspirations, even if we know they are "good". Original demonstration from @gickAnalogicalProblemSolving1980
In the setting of analogical inspiration systems, the situation is slightly different: we have many options for controlling the manner in which you encounter an analogy.