100% agree, except the impersonated person is impacted when their credit score eventually gets screwed and they can no longer get loans themselves. So, in that regard, they are also a victim.
It's merely a tort (wrong). It never rises to the level of a crime. The few instances/places where slander is a crime in the US (historically or otherwise) are very problematic and subject to abuse.
Perhaps this specific kind of slander should be criminal, but it might be the only kind that should be. Not only would you need to justify that philosophically, but somehow convince legislators to make it that way (at the federal level, I should think).
It'd be a tough journey.
Agreed that getting legislators to do anything about it will be a pain, though.