The thing is: if you send funds using the LN to one person, and this person sends funds back, it'll most likely go over the same channel, and it'll cancell eachother out...
It is possible to add more addresses to the channel? For example, if a user sends a transaction via an opened channel to the mixer and then getting a transaction on another address via the same channel?
In this case it seems like mixing information will be stored only on mixer. Or not?