I want users to my website to use Google Accounts to authenticate / sign in to my website. The primary use case being users will edit and generate content and
A comparison of the two is available here.
Google+ Sign-In with profile scope
OAuth login is primarily just for authentication at a lower level, that is by making raw HTTP requests, no API.
OpenID Connect protocols (OAuth 2.0 login) Google+ Sign-In supports OIDC interoperability if you configure with the openid scope and get the user profile using getOpenIdConnect.
OAuth 2.0 login supports OIDC directly. Use it for signing in users to apps that do not need social features and run on platforms not supported by Google+ Sign-In.