I relate to the idea that if some other race of beings wanted to make them known, they would give us something like "a cure for cancer". The only speculation I would interject would be by analogy.
Suppose a pride of lions in the African delta might notice some strange "beings" with skinny arms, and little body hair looking at them with this weird equipment and wonder what the heck they were doing. Some of the lions might even speculate that these "aliens" might be after their latest zebra kill, or maybe even wanting to mate with their female lions. Some of the very few lions would come back with very strange reports of being out hunting, and the next thing they remember they felt something sting in their rear end, and they could not move there muscles. They half remember these strange creatures hovering over them, and doing weird things to their bodies that they could never understand from there reality. Once they woke up, they found that they were OK, but a bit frightened of these weird creatures and there unknown equipment. They could never know that the humans who were studying them did not really care what that pride of lions thought. The lions, for that matter could never understand the idea of movie pictures, biological studies, fluid samples, DNA, or any number of things we do. Now a skeptic lion might say, "hay, if these things really are interested in us, why don't they de-lice us, or drop a zebra in our paws". Kind of a weird analogy, but I think it makes the point that what we think really does not matter at all, if indeed this abduction event is real. Of course I am still the skeptic lion, and need more reproducible data. Bob