That seems like it'd touch on the tasty burrito clause. I'm not sure if Mathilde has the background to pull it off, but something that sticks closer to Ulgu's basic themes might work better, even if it only does so as a base mechanic.
Something like a pair of boards with an alphabet carved in them enchanted so that concealing a letter on the sending board (by doing something like covering it with a finger) hides every letter but that one on the receiver. Then you could use it to send telegram style messages one way per pair without drifting from concealment at a distance for the magical effect.
I'm not sure if Ulgu can do a remote connection like that though, or associate identical sets in that manner.
@BoneyM would an effect like this be possible, or would we be better off getting some Amethysts to abuse Ouija boards for us?