You are kind-of both right. The spec defines a subset of cross-domain requests called “simple requests” - basically such requests as has always been supported by a plain html form. These are not affected by same-origin or CORS. So you can post url/form-encoded data to a different domain - but you cant access the response.
But CORS affect all other requests, e.g POST using JSON or XML content type, and all other methods like PUT, DELETE, PATCH.
So you can do an unsafe POST using form-encoded data, but if a server supports this, they hopefully mitigate CSRF, since this has always been a risk.