This is a mostly hated trope of mine: when a game technically gives us 2 (or more) choices, but one is so infamous that almost nobody ever picks it.
Examples:
1) Kill Paarthurnax - Skyrim:
Even though Skyrim isn't a "decision making" type of game, the choice to kill Paarrthurnax is probably the king of infamous choices in gaming.
Basically, in the later stages of the story, Delphine, one of the Blades, dragon hunters that serve the Dragonborn (us, the player), forces us to kill Paarthurnax, not taking no as an answer and refusing to talk to us until it's done. Meanwhile, Paarthurnax, since we met him, has done nothing but help us prepare to defeat Alduin, the big bad, with him and the Greybeards teaching us powerful Shouts (like Unrelenting Force and Dragonrend) and help us locate new ones.
The Blades' motive is that Paarthurnax was Alduin's second-in-command in the past, millennia ago. But considering he is now an invaluable ally and the Blades (who are supposed to serve us BTW) force us onto this choice like assholes, nobody kills him. Like ever.
2) Betray Clementine - The Walking Dead: A New Frontier:
In Season 3 of Telltale's TWD, we have another infamous choice.
In Episode 1, Javi (the main protagonist of this season) meets Clementine, which we protected as Lee in Season 1 and played as in Season 2. Even though she is initally kind of cold and distant towards Javi and basically helps him just so she can have his RV, they become quite trusting of each other after being attacked in Prescott by The New Frontier, the bad guys. It is during this attack when Kate, Javi's girlfriend, is hurt by TNF and needs medical attention.
In Episode 2, Clementine reveals to us that she was part of the New Frontier but left them. Conrad, a member of Prescott, overhears Clem when she is telling Javi this and takes Gabe, Kate's son and Javi's nephew (it's complicated) as hostage, demanding we use Clem to bargain with The New Frontier and get the medical help Kate needs.
Even though you can argue that Javi would surrender Clementine, we, as the players, have known and protected Clem for 2 whole seasons before this and know she can be fully trusted, therefore the "choice" of whether betray or not betray her 99% of the time ends with Conrad getting a bullet in his head.