Can you have theory of behavior without theory of mind? I think so, almost by definition.
A dog knows that the cat will run when the dog charges. Is that theory of mind?
A dog knows that the cat will run when the dog charges. Is that theory of mind?
I call that theory of mind, because the dog needs to distinguish what it knows and what the cat knows.
Showing yourself on purpose to change what you think the other animal thinks your capabilities are is more complicated and harder to evolve as a hardcoded reflex IMO.
Dogs weren't evolving in backyards with periodically opening see-through enclosures.
But yes, I'd assume most stealth predators with sophisticated brains (for example mammals) have some kind of theory of mind. It's just too useful not to have it. Same goes for animals living in complex social groups.