I would be surprised if it made a difference when applying for a job. Reduction in forces are common these days. PRs are eligible for unemployment since it supposedly comes from a fund paid for by employers. The more a company terminates employees (excepting gross misconduct, deriliction of duty etc.) the more it’s insurance payments will increase. Green card holders should beware of collecting other government benefits like food stamps. One loophole is to collect benefits for American born children (like AFDC – some foreign grad. Students have done this) if applicable, since in that case the state is paying them to citizens (note: not advocating this, just stating my understanding).
In regards to the question, did they mean unemployment benefits or suing the company? If it’s the former, the new employer would probably figure it out when you give out your employment history in the application forms, since you are usually asked to list why you left the particular employer (i.e. laid off).
Rgds,
sadiq