Do you need a different enterprise connection for each organisation?

I am wondering if someone can give me a clear answer to this question.

If I set up a Gsuite connection with an endpoint setup on organisation A’s Gsuite, can users from a different (organisation B’s gsuite) authenticate through the same connection?

Does it depend on the configuration of the connection on the endpoint (Gsuite, Azure)? Or is it the same for all enterprise connections that you have to set up a different connection for different organisations?