I ride on Delta a lot and just shake my head when they use significantly more than idle thrust to taxi out on one engine. One engine at high thrust versus two engines at idle thrust, which airplane is burning more fuel? Then the crew are distracted on an active taxiway, often right before takeoff, starting the other engine and finishing up checklists.
I can see doing this in situations where there will be an extended taxi out time, but they are doing it at SLC when there is no traffic and less than 10 minute taxi outs.
In regards to the APU on an A320 can't help you, but remember the DC-9 that crashed into a parked aircraft at Minny a few years back? It's been quite a few years and my recollection is not perfect but old DC-9s had a two position selector for the hydraulic brakes (Left or Right). If you had it in Left and shut down the left engine guess what happened to your brakes when the accumulator ran out of pressure? Newer DC-9s had a Left, Both, Right selector. It was normally kept in the Both position, but a non-normal could have one select either left or right. I forget, or never read, the final report from that incident but upon first hearing about it my thoughts went straight to what position that selector was in and if they had shut an engine down on taxi-in.
Typhoonpilot