People enjoyed the Silver Shroud quest for having the only different format in dialogue in the entire game, and for making it clear they aren't being one-hundred percent serious with the game. It's a parody that's unique to the rest of the game.
Everything in Fallout 4 is dumb and ridiculous enough to be considered a parody. But the difference is this quest makes it clear they aren't going through with complete seriousness, while the Cabot House for example leaves it vague to whether its supposed to be taken seriously or not.
Here's the thing. As a parody of games, Fallout 4 works fantastically. Its quests makes fun of everything - the Chinese submarine guy makes fun of the latent anti-foreign "Americanism" in Call of Duty styled FPS games, the Silver Shroud mocks the superhero genre, etcetera. Anything not in the main quest is taking pot shots at something in modern culture. The excessive placement of cats in Fallout 4 proves that cultural relevance is the game's aim. That's not to speak of the gameplay, which is a hybrid of all modern games that are making the most sales. If it was intentionally designed to rip-off as many games as possible, well-done to Bethesda, because it complements the plot just perfectly.
All in all, it's all in context of what Bethesda tried to make. If they were aiming to make a serious RPG, they failed in such ways I didn't think was logically possible. But if they were legitimately aiming to make fun of modern gaming and popular culture? They did it. Perfectly.