GitHub: Separate credentials for two accounts on Windows

The conditional include that I detail here is only for commit authorship (user.name/email).

This has nothing to do with authentication (credentials: username/password)

Those are probably cached in a credential manager (like the linux osx-keychain)
Check the output of:

git config credential.helper

If you can, use instead SSH keys per environment, as I illustrate there: then you can easily maintain different identities for the same remote repo (github.com)

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Note: the GCM (Git Credential Manager) installed alongside Git for Windows does not, as stated in issue 363, support multiple users per Uri.