Parents who enable their children's YouTube access accept legal and financial responsibility for any violations the child commits, including content copyright issues or community guideline breaches.
YouTube's terms grant the platform sweeping rights to use, distribute, and monetize content you upload, while limiting YouTube's financial liability to you to just $500. Parents who allow children to use the platform are personally bound by the full terms of service and responsible for their child's conduct. You can download a copy of your data at any time via Google Takeout at https://takeout.google.com/settings/takeout before closing your account.