How would you respond to the trolley problem?

Call it semantics if you like, it’s still an important distinction because ISTM you’re laying a very poor foundation here on which you, or others, could build arguments.
Not doing X does not entail you chose not to do X, you may simply have not thought of X.
Did I choose not to go to the Granadan school of Master Wizards? No, I’d never even heard of it.

And in terms of Thunderscrimble, you don’t even know the rules of the game yet. For all you know, sitting calmly reading a discussion forum would constitute “playing”. Therefore by your logic, you “chose” to play…it’s an absurd way to define “choice”.