The STREAMIN instruction must continue to execute until it completes (either successfully or in error). Hence, you should keep its SG ENABLED until the STREAMIN is done.
If you jump out of a Stage prematurely, the "termination" of the Stage includes CANCELING the STREAMIN operation. This "termination" is the same mechanism that turns OUT coils OFF when you transition out of a Stage.
This is one reason why we added the Jump To Stage options for the On Success and On Error events in asynchronous instructions like STREAMIN. You don't HAVE to transition out of the stage when its done, but typically, the completion of an asyncronous operation like STREAMIN fits well in a typical stage-flow diagram.