Delila
I have a little dog & I’ve had owners of large dogs say to me, jokingly, “my dog would eat yours for breakfast”, when actually there was no danger of any such thing, it was just intended as a comment on the contrast in size.
The use of the word “kill” suggests otherwise, but perhaps it was said in jest?
I agree.A house we once moved to had a neighbour next door who commented with a grin, that if our cat went into his garden his dog would kill it. He was a strange character, and his dog never did anything, though no doubt ( like all dogs) would have chased any cat that did venture in.
It’s an unpleasant thing to say to a new neighbour, but I wouldn’t pull out of buying a house close to exchanging contracts because of it.