For some reason I can't really see them phasing out written work altogether. I think there are probably a lot more difficulties associated with written work with PPE. Applicants are probably handing in essays from such a wide range of subjects and sending in an english essay for example may not really give an indication as to how good you'll be at writing an economics essay.
Oh well, it's not really like any of us have to worry about it now anyway (fortunately).