I think that the advantage of the Aero-eng + flying courses (such as Sheffield, Liverpool, Brunel) is that it pretty much opens ANY aviation professional career to you.
I do agree with LFS on most points, except that in my opinion if an Aero-Eng degree isn't engaging, it's most likely because it's being badly constructed and taught, rather than because the student really wanted to be a pilot. My BEng (at Southampton) had us all thoroughly engaged, including those who went straight into flying afterwards and never went near engineering again. (also exhausted, frustrated and confused, but that just goes with the territory - professional aeronautics is hard work to study).
G