In adition to my theory 9581:

1) Lisbon obviously cannot know that Jane is taking down Tiger Tiger with his list of 7 (and not RJ) because she's too close to Bertram and Haffner.

2) Maybe RJ did not kill Partrigde just as revenge for Lorelei, but also to lure out some Tiger Tiger members to make the job easier for Jane, who's his one-time partner in this - untill Tiger Tiger is unraveled: from that point RJ becomes Janes archenemy again but will reveal his identity if he keeps his word.

3) The presence of Stiles in Janes landhouse could be very important because Red John cares for him and listens to him. Jane therefore wants to keep Stiles as close as possible, like a card he can play if RJ doesn't come trough.