That's another part of the bad story that's impossible to sort out.All this arguments about what Mendez said about Pike are funny. It's been a while since I watched that episode, but wasn't Mendez an illusion created by Talosians and not a real person? lol
He seems to be a real person who's swapped out for an illusion sometime during Kirk's trip to the starbase shuttle launch hangar.
Because Talosians can cast perfect illusions all the way through interstellar space.
So, what's the point of the quarantine, again?
More importantly, what's the need for Spock's unlikely and impractical subterfuge? The Talosians could accomplish all the necessary deception with a nod of the head.