Yep. You do not have an account on each, you have a Google account that allows you to access all of google's services. And once it is closed, it is game over.
Most people didn't notice this until G+ hit the net, and some kids used their gmail account (set up with parental knowledge and support) got closed because G+ found out they were under 13.
Others have discovered that if their app on Google Play gets into trouble, bye bye gmail etc.
It is a downright hamfisted system, and likely an outcome of Google's drive to automate all the tings...
Most people didn't notice this until G+ hit the net, and some kids used their gmail account (set up with parental knowledge and support) got closed because G+ found out they were under 13.
Others have discovered that if their app on Google Play gets into trouble, bye bye gmail etc.
It is a downright hamfisted system, and likely an outcome of Google's drive to automate all the tings...