What good would that do? Captain Sullenberger is universally regarded as a pilot's pilot and yet he chose to start the APU - in part to keep the protections online as a backstop if things got hairy - which is precisely what they were designed to do. If the Airbus systems were as unreliable as some on here are trying to claim, why didn't he just sod the APU and wait for the RAT to drop (which would have given him standby instruments and Direct Law)?
Starting the APU to keep the protections ...
DozyWannabe, your are in Love, but the APU should deserve a bit more consideration.
Beside that, Sullenberger would have been better served by direct law in his attempt to flare as he wanted to ...