Soft Matzoh on Pesach?

Is soft matzoh kosher lepesach 'al pi Minhog Ashkenaz?

My understanding was that Ashkenazim were allowed to eat it as it is not chometz, but should not use it as the mitzvah matzoh at the seder.

Here in the US, R' Schachter of YU has matired it for Ashkenazim, but R' Elyashiv ז”ל was of the opinion that it's ossur, so it's a fairly fraught machlaukes, particularly among those who don't disregard YU out of hand.