Good point guys. I agree on this one, knowing that there is no ECAM about the APU i.e. APU Fault. Shutting down both engines is one good idea. I can only suggest, Ask if the station have a Ground pneumatic carts available so if the APU doesnt start you can still do a Batteries ONLY start.
Of course, I wouldnt mind a RON, but if you're tight on schedules and wanna get back home, its something to think about.
How about if its a Night Ops? would you do the same shutting down the engines? No wrong answer, all may be correct, i just want to know your thoughts.
Jc