I've pointed all this out before, but here's a neat overview, starting with the most damning.
1. If the petition serves no other purpose than for Galzria's win condition, then the process makes no sense. A player would need to sign, and then agree again after enough signatures are in. There is no game-design reason for requiring the second approval, as it doesn't matter to the player and they already made a choice.
2. As pointed out, the claim is inconsistent - Galz doesn't know the identities of the signees, but gets to choose one of them. First of all he would have us believe that he did not notice this discrepancy until he claimed today. Also, he would have us believe that ashersky did not provide clarification for an integral part of his role. That's not the mod!ashersky that I know, and it doesn't fit my with interactions with ashersky in this game.
I think the solution here is that actually Galzria doesn't know the signees, but the thing that the signatures do is something else, which is how it happened that he made a claim that doesn't quite work.
3. It doesn't make a lot of sense flavor-wise. Yon sign a petition to do something, and if enough people sign it... nothing happens to further the purpose of the petition? Come on.
4. It's weird that the number claimed doesn't coincide with the number of players who posted. I think it is very unlikely that anyone in this game would choose to not post in a neighborhood.
5. Galzria offered to self-hammer, which doesn't work at all with a Survivor-like role. As a scum gambit, it makes more sense.
6. His persistence on Didds is nonsense. He wants her lynched, but doesn't want to say any reasons that might convince others because ... maybe she'll say something more incriminating? Well there's not much time left for that in this day. I think that he has nothing on Didds actually, and the case is made up, there is no scumtell. Galzria just wants to be seen arguing against Didds for some reason. And a Survivor doesn't have a reason to make up disingenuous reads.
7. He says he could be randomly included in the neighborhood he generates. So like... he can sign his own petition, but only sometimes, up to RNG? Seems unnecessarily swingy without reason, he could just always be in there or never.