@Okin. Actually the burden of proof is on your side as it is you who wants to change the rules. What ever way you turn it, more people actually voted for the original suggestion, and even more did not care. Hence in order to achieve a greater number with your proposal (which should be expected at least) you would need more votes that the rules already applied.
Some may even argue that in order to change an established rule you might need 2/3 of the votes, but you did not get 50% even when disregarding other votes.
Edit: But you could however argue for a second voting round where only the two most voted for result were available and then try to garner more votes from either undecided or 2 stacks. Odds are that 2 stacks might move to your position and that more undecideds might move as well, seeing that few throwing weapons were used in the actual tournament.
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