Sure, they'll worry. But they'll figure out how to send Bitcoin anonymously if it saves them tens or even hundreds of millions of dollars and their jobs. Why on earth, as taxpayers, would we want to spend the time and money to prosecute victims (especially when it will probably be difficult and costly to do) instead of the criminals? If it is cheaper for company's to learn to protect themselves from such attacks then they will learn to do so. If ransomware gets too out of hand it will be the cause of its own destruction as it becomes more difficult and less effective.
Don't get me wrong, i hate ransomware and I hate the idea of giving those people money. But the idea of government being too incompetent or otherwise incapable of stopping these criminals instead going after the victims is a terrible idea.
RE: Paying Ransomware Should be Illegal