Heard about his "new" play "Double Falsehood" through the news, and I'm wondering how big of a deal this is? Does it give us any new insight to how Shakespeare worked, given that it's been team-written in parts? As, aside from previous academic speculation that it was his work, it recently was determined to be his work through linguistic analysis, so how distinct was his voice compared to other playwrights of the period?
The folks over at /r/shakespeare aren't particularly impressed...
Given that the majority of Shakespeare scholars don't recognise 'Double Falsehood' as being his work I wouldn't put too much stock in one study which contradicts the general academic consensus.
It's possible though that it contains material lifted from Shakespeare's lost play 'The history of Cardenio' which could explain why there's matches to Shakespeare's 'voice' at textual level, but the whole doesn't hang together as well as we see in other Shakespeare plays.
http://www.jstor.org/stable/433106?seq=1#page_scan_tab_contents
Considering how large his published body of work is, how different would a new Shakespeare play have to be to shed new light on his process and style? Pretty different. We already have around 37 plays credited to him - that's more than most modern playwrights. (Edward Albee has around 32 plays credited to him, several of which are shorts, compilations, or likely duplicates.)
Even if the play were wildly different, it wouldn't greatly change Shakespeare scholarship, any more than the discovery of a missing Woody Allen cowboy movie or a missing Martin Scorsese romantic comedy would change our assessments of their bodies of work. Stephen Sondheim, one of the most-studied dramatic writers of the past century and a half, recently released several early drafts of lyrics and a collection of lyrics he'd written before his career took off. The effect they had on scholarly assessments of his works was basically nil. What could we learn about Shakespeare from a single play that we didn't learn from 37 others (with different editions) and a large assortment of sonnets?