回复：很高级问题unstricted social security card，可能只有xiaobaitu等专家能回答

You should do so. Unstricted social security card will give you full benefits as a permanent resident. Just be aware that not all government officials know about immigration laws. With unstructed social security card, you will avoid trouble to explain to someone about your immigration status if you are questioned by a government official with some troubles related to SS#.