It is the same. The notion of a green context is that it is a reduced context - not fully featured. For example you must explicitly create or add SMs to it. Likewise, you have to explicitly create or add the default stream, also called the null stream.
The API call cuGreenCtxStreamCreate creates an “ordinary” created stream for the green context. This stream is different from the green context default stream in the same way that an ordinary created stream for an ordinary context is different from the default stream for an ordinary context.
Yes, if you have both types of contexts created for that device.
Yes, if you have both types of contexts and streams created.
In the diagram above, the default streams are required and always present when their respective contexts are created. The ordinary streams are created if you create them.