It's an attention to detail thing. They missed a chance to make it more effective by having the match help tell the story. Especially with only 2 weeks to finish telling the story and convince people to pay, I think they should want to make the most of every segment to maximize the story they were trying to get people invested in. Hangman being distracted at the possibility of Swerve getting revenge, and/or Hangman making mistakes he usually wouldn't make because his head isn't in the right place, with the commentators pushing the same story Swerve did after the match, that would have made sense.
If anything, Swerve VS Ishii in that style of match would have made more sense - not that Swerve should pull a John Cena and smile after getting screwed, but it would have cemented the idea that Hangman doesn't live rent free in his head and that's why he is going to move ahead and win the title again. Hangman cost him the title the night before, and he is still able to focus and survive a hard fought strong style match.
Unless the idea is supposed to be that Hangman is actually a badass, and what Swerve is saying is not true, but they didn't really push that forward.