Extending the logic further, if housework is work, then is the workplace a home? In a home, the parents genuinely care about the 10 year old. Like if the kid is sick, the parents will allow unlimited time off for the kid to get better. If the kid needs to spend more time on education, the parents will once again let the kid take unlimited time off from work and pursue that. And so on. In a home, the kid's future takes precedence over housework.

Work is inherently exploitative. A parent-child relationship is not (most of the time. I know exceptions exists). That's why it doesn't make any sense to compare work and housework.