"Adequate explanation" is a tool of relatively small scope, dependent upon the judgment of individuals, which is of relatively great scope. If many individuals judge it "telepathy" then that carries weight. Let's not put the cart before the horse.
No, science is not a trial by popular vote. What carries weight are models, theories, experiments, and falsification.
This can include subjective reports, but the human mind, as brilliant as it can be, is also a never-ending source of biases and (conscious or unconscious) deception, which all need to be corrected for via proper experimental setup.
Humans have telepathy and cognitive biases!