No, parents do not only care about their children while they're living with them. Parental love and concern for their children typically continue throughout their lives, regardless of whether the children have moved out or become independent adults. While the nature of the parent-child relationship may evolve as children grow older and gain independence, the emotional bond between parents and their children often remains strong.
Parents often continue to support and care for their children even after they have moved out. This support can take various forms, such as emotional support, advice, financial assistance when needed, and being there for important life events. Parents may also stay involved in their children's lives by maintaining regular communication and spending time together, even if they are no longer living under the same roof.
Of course, individual experiences and family dynamics may vary, and not all parent-child relationships are the same. Some parents might be more hands-off once their children have moved out, while others may maintain a very close and involved relationship. Cultural and societal norms can also play a role in shaping parental involvement after children leave the family home. However, in general, it's common for parents to continue caring about and supporting their children throughout their lives.