My neighbour cats are no threat at all for my tiny Dutch, mixes or Katrientje.
There are many different types of Bantams, lots of the normal sized breeds have a bantam counterpart too.
My bantams are very predator aware. But they are not (very) frightened of cats. The are very afraid of dogs, small and big ones. If they seen one , when free ranging, the Dutch /mixes fly on top of the run, in a tree or over a 2.30 m high hedge to the neighbours.
Katrientje my bantam Rhode Island red ,can not fly. She hides and makes a lot of noise after the threat/predator has gone.
I donāt trust strange cats after a few bantams went missing in the past years around the time I saw a tomcat hanging around. I sort of had to learn my chickens to be alarmed/take cover for strange cats. I think they have worked it out now. The tomcat didnāt return this year.