In my experience this has depended entirely on the characters in question, the context and situation of the betrayal, and the present context in which the characters involved find themselves.
The Valentine or Lefanis families, for example, are widely distrusted and even hated across continental boundaries. The many experiences I have had with these - and a handful of other - families will taint all future interaction between mine and theirs with a distrust, dislike, or even hatred. We have hunted one another, slain one another, betrayed one another, and even burned each other's homes.
On the flip side of the coin, families such as the Anaris or Vellos *have* enemies and some measure of infamy or fame on the islands they operate on, but I know of no grudges against those families, only certain of their characters.
