You do realize the limited liability corporation was a key innovation that unlocked the Industrial Revolution, right?
Companies definitely respond to fines or liability. They just need to be big enough.
For example, I recently heard an interview from an environmentalist who expected to be outraged touring a Chevron drilling location but was surprised by how much precaution is taken these days. Basically, liability for oil spills is massive. We could just make data leak liability massive too.