I watched it last night, the episode gave me chills as well. I thought Vader was handled, although I wish he would have force choked someone. I think Ashoka is hiding her connection with Vader. I think maybe she thinks Vader killed Anakin. I like that Cader is wondering about Obiwan.
What I found curious about that exchange is that Palpatine said "if he yet lives". I can only assume he doesn't want Vader to get distracted by focusing on Obi Wan.
Perhaps he even feels that Vader going off on such a personal vendetta actually poses a threat to his dominance? Maybe he's concerned the lingering traces of Anakin could be rekindled?
I think it's interesting that the Emperor seems reticent to kick this particular bee hive. I mean he has to know both Kenobi and Yoda are unaccounted for and as the only two surviving members of the council they're his greatest threat (besides Vader or course) and the longer they're out there unchecked, the more they're liable to cause him difficulty.
I know overconfidence in his plans are foresight are well established as his fatal flaw, but he's not *stupid*.