> But they don't really do it for cases that are analogous to "i trusted a website company and they used pirated stock photos".

No? At least Getty Images does [1]. You can try and sue your website company for damages, but that's another story. The copyright owner will sue you since you're using the images without permission.

[1] sorry, german: http://www.ferner-alsdorf.de/2013/04/urheberrecht-gettyimage...