I do think the crows that were pestering my chickens were actually going for the corn cobs in the coop and not going after the chickens themselves, they were just being really aggressive about trying to get through the mesh with the chickens standing right inside and freaking out. I also doubt that the neighbor's cat would really be able to kill even my tiny Sebrights, but I'd much rather play it safe than sorry, and discourage the darn kitty from hunting in my yard (which is full of bird feeders) anyway! Maybe running outside in pajamas was a bit dramatic, but my brain doesn't work that well until after 10 am and a cup of tea.
