That harm move is no where near hard enough, and you're suggesting something that isn't mentioned anywhere in the book. Harm rolls do not talk about the fact they only happen on a miss. This example is a monkey patch because this piece of information was left out.
With the health system the way it is, that example basically saying any player character that is willing to suffer some harm and survive, can always "get away", period, and probably take people down with them. At any point where fighting occurs, any PC (no matter how wimpy) would essentially be unable to fail in achieving any one objective. The only difference between choose one and choose three is how badly it hurt, and that's by a factor of one. Which is far more dependent on what you're/they're doing harm with then the roll. That's not a real argument for any type of narrative event. More directly opposing your example... the fact that the harm move is a ROLL is basically providing them an additional saving throw against a hard they've already invoked.
You want to storm that castle? Okay you win, how much did it hurt, lets roll to find out.
EDIT
I suppose it's worth noting here that I actually prefer the choose one option on a miss, just not in lue of the miss. Before if something went wrong during a seize by force, really the MC had absolute freedom to act. They could trap them, break them apart, do whatever, even if it was the one thing the characters were devoted to preventing. To me, it seems fair that a player can announce what they care about most. Choose one, cause the other three are going to hurt, makes them need to make a call. In the violence, did I care about hurting them more then protecting myself? More then the strategic object? In that light, the MC can see how the player wants to react to the failure around them, which one did they focus on, and all the rest are now vulnerabilities / weaknesses to be exploited for the hard move.
I have enjoyed seeing this in action and I find taking this to the next extreme, (no real miss at all) does the potential a lot of injustice. We are all looking for Other things to go wrong, other ways to make the choice to fight and fail meaningful, and that's a shame because it was already meaningful before the version change.