captainkangaroo - a quote from 330 FCOM3 (similar I would think to 320)
Direct Law - The sidestick is directly coupled to the controls via the COMPUTERS, but without any of the stabilization feedbacks. In effect, this turns the aircraft into a conventional aircraft, but is compensated for configuration and CG...
Turning the APU on does not give you normal law when you have a dual engine flame-out.. You'll have one of the Alternate Laws at best (and Alternate Law does not offer the same protections as Normal Law - it's also possible to stall the aircraft in Alternate Law), and when you push the Land Recovery it goes to Direct Law (with the gear selected down - although being a ditching case it's a little different)..Remember you will be lacking hydraulic power except for the feeble output of the RAT.. I could delve deeper but I really don't see the point.
Even at Emergency Electrical Config you'll still have Prim1 and both Secs (again I'm assuming a similarity with 330/340)