I think all three of those could use training on how animal abuse manifests in relationship violence. It's not always physical. There's the emotional abuse of threats to the animal. There's financial abuse, where you're not allowed to take the animal to the vet or feed it, in some cases. There's also technologically facilitated abuse, where trackers are put on leashes.
Training on what constitutes animal abuse in that particular situation is desperately needed at all levels—law enforcement, community services and justice stakeholders.