Probably not, because it's not really important for the two systems to be integrated. You can (or should be able to) link/embed a manifold from a community note. If the community notes process doesn't respect or doesn't investigate prediction markets closely enough already. Adding a feature to twitter wouldn't accelerate that by much?

Usually it's beneficial for different systems to have a single shared account system so that there isn't a barrier in the way of people interacting with the other system, but manifold is not direly in need of a twitter-sized userbase. Its userbase is large and energetic enough to produce accurate enough estimates already.

(personally, I think a more interesting question is whether manifold should try to replicate general twitter/reddit functionality :p)

There was a Works in Progress magazine article about this https://worksinprogress.co/issue/markets-in-fact-checking

I think that would be incredible