I think it’s a little more complex than that. Behavioral neuroscience is an older term than cognitive neuroscience. These terms were coined during behaviorist and cognitivist periods, respectively, so there are several differences in connotation.
It’s true that behavioral neuroscientists may be more likely to work with animals than humans, but this is a product of the eras in which the terms were coined and the methodologies prevalent in biological psychology at the time.
If the ad writes, “behavioral neuroscience, broadly defined,” I would translate that to “biological psychology.” Anyone doing human neuroscience research could probably apply, especially if they were able to teach the animal work. (This is especially true if we are talking about a SLAC or smaller university that may not have the facilities or funds for animal work to begin with. The human neuroscientist who can teach all sorts of biological psychology might even be ideal for such a school.)
The question is, really, are you a biological psychologist? If you mainly do research involving behavioral methods and only formerly did imaging with no plans to return, then maybe that’s not the best fit.