One would think.
The trouble is, the concept of ‘spirit’ or ‘soul’ is held to be beyond scientific reach almost by definition. Never mind that no-one has ever put forward a satisfactory explanation for how physical and nonphysical entities might interact - believers in spiritual reality continue to insist that no matter how much scientific investigation is done, we’ll never approach a complete understanding of human consciousness because science can’t touch the soul.
For some, there seems to be an underlying fear that in explaining cherished phenomena such as free will and consciousness (often considered the province of the ‘soul’), science - particularly neuroscience - will be explaining them away. Not so - knowing how something works doesn’t make it stop working. Understanding that my enjoyment of a party or of good conversation with friends or of a delicious meal is a function of electrochemical reactions in my brain doesn’t lessen such enjoyment one jot. We know that (most) humans have certain capacities such as empathy and creative intelligence - the job of science is to investigate how these capacities manifest. It does no good to say, “Oh, but science can’t explain that, because it’s spiritual”. As you rightly point out, if it has detectable effects, a spiritual entity, whatever such may be, is susceptible to scientific study.