“Dr. Halstead emphasizes the need for careful, evidence-based consideration”
The term “evidence-based” really means “forget about the truth, just believe what we tell you to believe.”
Look at the context, "There is concern within some religious circles, particularly in the Pentagon, that UFOs could be demonic. Dr. Halstead emphasizes the need for careful, evidence-based consideration before jumping to such conclusions, as premature assumptions can cause unnecessary fear."
He's saying, "Don't jump to conclusions with knowing the details."