Not sure how I feel about the Lulu write in. Gonna think when I got more time.
The existing choices were basically 3 variations on how much effort Amu puts in on withholding details. I thought it was a little bit odd there wasn't actually any choice to actually let slip any details directly.
Since we now know that Lulu is going to do something no matter what Amu tells her, the way I see it is that the question now is really one of how much you want to try to delay her involvement, rather than whether she becomes involved at all.
If Amu doesn't tell her anything, Lulu might take a bit longer. She'd need to spend time finding out the details, if not from more chats with Amu then by going around asking other people who Amu may not know about and neither Amu nor we will know what Lulu finds out from them and won't have any clue what to expect, until she makes her move.
If Amu does tell her something, it would bring her into it faster but we also get to "slant her narrative" (as Baughn put it) and potentially get a hint on when and in what form any attempted assistance might come.
In my mind, the biggest drawback of the latter option is that, if somebody were wiretapping Amu's house or Lulu's phone and/or there's a mind-reader who breaks into Amu's mind later down the road, they will find out Lulu knows too. Which could potentially take the edge off any help Lulu might bring. And yes, I acknowledge that's a paranoid assumption (and wouldn't base a vote on it) but then again, there is a government conspiracy and psychic killers involved.
Meanwhile, the biggest potential drawback I see from the former is worse. The way I see it, it carries the risk that whatever other information Lulu gets, it makes her throw in with the people Kana are running from and believe she's helping Amu by doing so.
Before anybody objects over how poor Lulu's judgment would need to be for that to happen, I'd like to remind people that we don't actually have a lot of information on either the conspiracy or Kana's group. Consider my previous paranoid speculation that the conspiracy are actually JPs -- the secret government organization who are nominally the good guys in Devil Survivor 2. It doesn't
actually have to be JPs specifically, just a scenario where the conspiracy are actually mostly good people and the ones responsible for Kana's group were a few bad eggs who covered it up, causing the rest (including whoever spoke to Lulu) to legitimately think Kana's group are psychopathic killers rather than victims.
And even if the whole conspiracy is rotten, what they say about Kana's group could still be mostly right. For all we know at the moment, it could be that Kana and Naomi are some of the few sane ones in their group while the leadership are full-blown psychos, and it's Amu's current perspective on the situation that is flawed.
These are rectifiable misunderstandings, but could cause a huge headache depending on exactly how Lulu tries to help before it gets sorted out.
Or at least, that's my take on it. There may certainly be other pros and cons for either route that I'm not seeing.