Something i think everyone missed because i have never seen anyone talk about it (Chater 1 trial spoilers)
So in the trial when Eva is accused she makes a statement "how could I accquire all these items (like Desmond's taser, Jett's battery etc) if i've been heavily observed on the past few days?" (or something like that)
But that question was never answered
When Eva asked that, Damon said that she was aware of Desmond's taser because she had his blackmail. He only proved that Eva knows about the existence of the taser - he never answered the question of how she actually got all these items despite being heavily observed on because of lying about her talent
I guess Eva was right when she said "Damon says a lot of things"