Now I'm even more certain you're scum.
It doesn't matter who takes which path, so long as it's 2 in each direction.
If you change the paths at this point, it increases the chance that a townie goes the wrong way by mistake (via looking at the wrong plan), and thus is a sensible last-ditch approach as scum. (Especially because you could do something like swapping the path assignment to maximise the chance that someone makes a mistake.)
OTOH, if you're town, you have absolutely no advantage to changing the path assignment because it can't possibly change the probabilities in town's favour.
BTW, why are you not explaining why you took the wrong path? Because you don't care about being lynched any more?
(Also, I've been viewing the game as a puzzle too; see me above trying to increase the victory odds, for example, which is something I wouldn't even really be thinking about if not trying to maximise victory odds in a situation where they're basically 100% already. If you were town, you should be jumping at the opportunity to use a plan that gives town more of a chance to win; the plan I suggested above is materially better than the obvious plan from your point of view in the case where you're town. The thing is, I'm viewing it as a scumhunting puzzle
in addition to
the mathematical puzzle; I fear I'm rather better at the maths than I am at the scumhunting, but we made enough progress in the scumhunting to make this victory guaranteed despite two modkills, rather than merely somewhat likely even without any.)