I don't agree that many people draw the same obvious conclusion that family and friends rate higher that paid work-- note that in your response you explicitly draw a distinction between them that isn't necessary.
So while I understand you have an implicit bias towards saying that domestic labor isn't work, and while I understand that this bias permeates not only the question but our culture at large, I disagree that this bias is necessary.
And I feel like challenging that implicit bias is a worthwhile use of my time, so thank you for allowing me to make this specific and tiny project a little more explicit in my own mind.