It’s likely that the pattern of the story is that the ones he could convince were merely “ill” and had been healed. Those he could not convince were possessed by demons and, like the dissenting Zealot groups that would not settle on a leader, cast out from the city. Further, he was not holding a debate or allowing folks to weigh the various arguments. His was the authoritative speech and no other was allowed.
Looking at this from the “Two Jesus” theory, it’s a little ambiguous about which Jesus is being referenced here. I think that the fact that the verses on either side of this set are clearly “Shy Jesus”, and the last line about not permitting the demons to speak both indicate that these verses also reference Shy Jesus. If so, this indicates that, in his own way, Shy Jesus was soothing hearts, changing minds, and converting people to the Zealot cause.