the play store developer agreement says your app can't violate anybody else's ToS. A violation of the youtube ToS is an implicit violation of the Play Store ToS. Violating Facebook or Twitter's terms will get you kicked off the play store too.
"4.4 Prohibited Actions. You agree that you will not engage in any activity with Google Play, including the development or distribution of Products, that interferes with, disrupts, damages, or accesses in an unauthorized manner the devices, servers, networks, or other properties or services of any third party including, but not limited to, Android users, Google or any mobile network operator."
https://play.google.com/intl/ALL_us/about/developer-distribu...