I'm going to repost something I wrote in another bit of the discussion:
if people reason about V as an optimization process rather than a character, they will never be satisfied by V losing a duel because V is defined by his duel-winning property. So the only winning move is not to play, but there are satisfying ways for that to happen.
V has established that he is willing to try to intervene at every possible point when it comes to breaking the prophecy. So he would paralyze Harry, and take Harry's wand from him, and destroy Harry's wand. Especially in the context of V asking Harry to share secrets V doesn't have.
It seems to me the simplest place to intervene is the characterization of V. Have Harry, during one of his bleak "how the heck am I going to defeat V" moments (or possibly at the start of 114), remember what gattsuru talks about here. V is sharp but limited; Harry can use those limits against him. Then Harry surprising V makes more sense, and every idea Harry uses could explicitly be linked to one of V's weaknesses. (For example, Stuporfy works because V disdains dueling.)
Even then, I do not think it will work fully, and some readers will only be satisfied by a 'mutual victory' ending. I have in mind an ending that would work for that that I'll write up when I have time for fiction (tonight?), but it requires more changes earlier and may not match at all your goals for the fic.
(Incidentally, if I were in V's position and knew about Time-Turners, those could be used to add a further layer of security. I would precommit to Time-Turning back an hour and asking Harry to reveal his secrets in the presence of my original version iff Harry in fact revealed his secrets to the future copy of me that appeared and then died quietly; otherwise I would kill him immediately. This might violate the "use Time-Turners for arbitrary computation" rule, but I don't think so; it seems closer to asking Flitwick to rescue past-you, or the original Time-Turner prank, or a minor modification of it could move it into that class.)
Incidentally, if I were in V's position and knew about Time-Turners
I realized this morning that I should be clearer: obviously, V knows that Time-Turners exist. But does he know enough about their function to know exactly how the information-backpropagation prevention works, and which loops you can reliably create, and which ones you can't? That seems like the sort of thing that would require extensive experimentation that he may or may not have done.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 114, and also, as a special case due to the exceptionally close posting times, chapter 115.
There is a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)