A) For the rest of the day, a full name claim would take any focus off of Riddle and Hando (or any other potential lynch targets), and instead place focus on the names, which aren't necessarily accurate.
B) Setup time for an organized name claim is time consuming. Its easy to just say "Let's all name claim!", but then scum can manipulate to claim late, so as to not risk a CC. The way it should be done is everyone formally says who they would like to claim first, with those with the most points going first, and those with the least going last. That takes at least two days to setup, if not more, which gives scum time to create a reason to be inactive for three days, which is allowed for the rules, bringing us to night with no extra info for us, and tons for the scum.
C) Let's say we do manage to get everyone to claim by the deadline. What are we left with? One, maybe two, at absolute max 3 days to formulate a new lynch. Which as time has told, is not enough time. Plus, mafia claims won't neccesarily be accurate. Therefore, again mafia gets more info, and we don't get extra info.
D) MAFIA PROBABLY WILL GAIN MUCH MORE USEFUL INFO THAN US! It could still be worth the effort, however we would need to organize it some way so that scum could get forced into a CC. I can't stress that enough.
It could be a good idea to claim tomorrow, but not today.