Looking at the list provided...
Rebecca
Cinderella
Matilda
Kinky Boots
Edwin Drood
Annie (Korins' set design looks like it is going to be stunning)
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"NONE of these upcoming new musicals have scores that are by actual musical theater writers that have established themselves as talented and worthy."
Cinderella - Rodgers and Hammerstein
Rebecca - has been playing around the world since 2006
Matilda - is the biggest British musical in the past decade
Kinky Boots - I know nothing about this
Edwin Drood - Rupert Holmes did the book for Curtains (and The Nutty Professor, if I am not mistaken)
Annie - Charles Strouse...
So, surely some new musicals have reputable scores and backgrounds.
Unless you meant new as regard brand new...
Nick Hutson
Co-Presenter/Producer
MusicalTalk - The UK's Musical Theatre Podcast
http://www.musicaltalk.co.uk