There's a sort of choice in games that's not really a false choice, per se, but clearly engineered to be one by making one option really tempting and the other option really boring.
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This can be used intentionally to great effect (The Stanley Parable does this with its opening few choices). More often, though, I've seen it used as an attempt to justify/excuse optionally transgressive mechanics.
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As an example of this - Total War: Three Kingdoms has these choices where option 1 is "do something stupid (follow the story)" and option 2 is "do the smart thing/nothing." The implication is that CONTENT is being held hostage to having you do the stupid (but historical) thing.