They have all the information they need to know who you are and track you down. If you decide to ignore the civil demand, yes a warrant will be issued for your arrest. Will anyone try to serve that warrant on you in another state? No. As long as you stay out of Washington, you can probably elude any criminal consequences forever.
However, there are other ways. The company will go after you civilly and, if you refuse to pay, seriously damage your credit. They may even be able to garnish income. The court can also suspend your driving privilege in Washington for unpaid fines. The Washington DOL will report this to your home state, who may also suspend your license or refuse to renew your license until you meet those obligations. Is skipping out on $200 for this crime (yes, theft is a crime, not a “crime”) really worth it to you?

