Sure they do.
How do you feel about letting your parents use a dishwasher versus doing the dishes for them?
What about letting them see a doctor instead of taking care of all their medical issues yourself?
Obviously the task that is being outsourced matters. Nobody cares if a robot is taking out the trash. If this allows people more time to focus on real interactions, then that's a good thing
How exactly is building a robot to take out the trash "robot care for the elderly"? Any chore done by humans -- including but not limited to the elderly -- that can be automated by a robot is considered "robot care for the elderly"?
If that is what the above poster meant, they should have stated it more clearly because it did not come through.