Doesn’t it make more sense for the family of a nursing home worker who is living with him be tested as well after he just tested negative for Covid 19?

I have a friend who works in a nursing home who just got a test as part of a priority effort by our state’s governor to stop the spread of the virus in nursing homes where residents are most vulnerable. He tested negative.

He doesn’t know yet if and when they’re going to be tested again. Assuming they have more test kits doesn’t it make more sense if the people he interacts with daily at home be given tests too?