So... I still think that faust should be the one to claim first. I feel like part of that is just good practice in general (although that I am a bit less sure about and might try and explain below to see if I feel that way once I go through the thought process) but more to do with just how I am reading faust in general.
But first off, I don't necessarily agree with the idea of having them simultaneously claim. There are two things about this. First is that faust is stating he is very much willing to claim, but his claim is dependent upon WW claiming first. WW, on the other hand, hasn't stated that he is willing to claim. That decision hasn't been made yet. His decision to claim is therefore dependent upon faust claiming first. So while I think the simultaneous claim could work for two people who are both willing to claim, but wanting the other to first, this isn't it. from my reading there could be scenarios where faust claims and then WW chooses to not claim. I think we have to at least respect that, even if we can't understand it or agree with it.
After that, I do find faust scummier in this game and, in my opinion, while there isn't anything wrong with claiming at a high L-value I don't think that is a situation where you can start making demands of other players. The time for making demands has passed. If you wanted to make demands, do it before you came under pressure... otherwise I think the onus falls on the claimer to come forward and then make demands with full disclosure.
So I think that is where I stand. faust claim first. WW then can claim if he feels it is justified. If faust's claim is alignment indicative and believable and WW continues to not want to claim we can consider lynching as a possible reason to compel him to claim. But I am certainly not going to be voting for him just because faust has an unclaimed result of some sort on him. So yeah, I think faust needs to claim first.