There are stories that invoking Jesus makes the Aliens stop whatever they are doing to someone. Could this be part of the agreement made with them? “You can mess with our people, just as long as they aren’t Christians”

Looking at the timeline going back to the 50s or so when its rumored agreements were made..

I’ve seen accounts here and there that invoking Jesus caused whatever was occurring to them (abductions / psychic) to stop. Now this is often considered to be something that people use in thinking that there is something more to the Bible or Christian religious teachings.

However, what if it’s just part of the agreement the govt made with the aliens?

It could be like during an interrogation by police when a person asks for their attorney. The police are obligated to end the encounter.