There is no real way to determine if a name is fake or real. Facebook and Google+ usually do not delete / disable accounts based on a name like John John , which may be a valid name. Google+ began to disconnect accounts with ".", "*" Or any other special characters as the only last name or first name ( link ). There are other cases when the account is disabled, because they look like celebrities ( link ).
Alternatively, they may prohibit heuristic-based accounts, but I don't think this is mandatory. You can create a fake account with the name John John or Iam Awesome on facebook, and you wonโt be banned (Source: My friend has had a BS account on Facebook for more than a year with an eccentric name, and his account is still good.)
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