There's a difference between assuming that similar properties are connected because they appear similar on the surface, and rationally connecting similar properties because they are caused by the same physics.
Modern thinkers will ask "Why/how does the moon influence the ocean", and expect that "how" to apply to other things, not the "what". Modern science has convenient answers like "F = G x m1 x m2 / r^2", you apply that and expect the moon to exert 2.7 x 10^-3 Newtons of force on a person, not to generically lift and lower something about their mental or medical state.
The critical question to me, though, is what a person does when presented with a question to which they don't have a "how" available to answer it.
Presented with a piece of equipment that uses sensor technology or algorithms they don't understand, or a street performer that uses slight-of-hand tricks they can't catch, do they assume it is just 'magic' and extrapolate its effects to things that might not be achievable based on the actual mechanism behind the demonstration? For example, one might expect a voice recognition app that can detect someone saying "Hey Google" to also understand "Excuse me, Google" and natural language processing, or expect a street performer who knows what card is going to be flipped over to know other things that will happen in the future. Another might observe that "Hey Google" causes the device to respond, and either ask questions about how that works until they learn about microphones, digital signal processing, and hidden Markov models - and eventually about natural language processing, and might expect the street performer to simply have performed a card trick with a normal means of knowing what card would be turned up (looking at the card at some point in the past).
I honestly don't know what you or I would do in the past. With so few effective concepts of basic physics, chemistry, or medicine, not knowing the mechanism and requiring hundreds of years of scientific observations to discover it leaves "assume it's magic and extrapolate" as the only viable world view.