I've only just completed chapter 2 of Layton VS Wright but it really feels like a Layton game with Wright as a guest star, which doesn't gel with me since I've never played a Layton game.
Hopefully it changes, but disregarding the prologue, the first Layton chapter gives Wright and Maya nothing to do besides occasionally play comic relief, while in the first Wright chapter Layton stands right next to him coaching him through his job and acting incredibly smug about it.
I heard Shu Takumi worked on this but the US localization is really inconsistent with Wright's character in huge ways. His sidekick is a spirit medium but he can't fathom the supernatural being real, he freaks out about having only two weeks to gather evidence for a case when in his own series he's given at the most 24 hours before he has to appear in court...and it's pretty much all so Layton can be portrayed as level headed and rational by contrast. I've read that Layton was designed to be like Wright, but without flaws...which is a really awful character design strategy, and it's pretty glaring when you put the two (literally) next to each other.
And despite the neutral setting the tone and the incidental characters feel more in line with what I know of Layton than anything in AA.
I was really excited for this but it's probably getting shelved permanently if playing it on my commute isn't enough to beat it before Smash comes out.
(I like the prosecutor so far though, if only because he seems like a more focused version of Blackquill's "What's left on the cutting room floor?" design. An English samurai with a pet bird who is in prison for murder wat.)