I’m not sure I understand where that scene would come into play, or how it would relate to finding Luke.
Both the Emperor and Vader are after Luke. That’s the only reason I can think off for Vader to go to the Emperor unannounced. But the Emperor has his own plans, so he denies entry to the throne room.
I feel that this would give more substance to Vader’s actions (for example letting Luke land on Endor).
But I agree that it’s hard to show all this from a short scene. It’s there, but not obvious 😉