ATPL student here.
Anyone considered what the wind is on the runway? Lets say the No1 (left) hairdryer is stuck at 77%. The aeroplane is going to want to go right all the time. Lets say we have a lot of crosswind from the right. We need lots of right aileron and left rudder to compensate. But we are already using lots of left rudder to counteract the asymmetric thrust. Does that make any sense?
With regard to the hydraulics etc - we have standby system/PTU etc so that we can keep everything moving in the event of loss of a system/engine. So shutting down an engine - is it really that dangerous from a loss of hydraulics point of view?
Only a humble student here, but IMHO I would keep the engine running until just before final approach, then shut down so as electrics/hyd/air con and press still available etc. But it surely much safer to do a single engine approach and landing because that is one of the most trained for emergencies, rather than try and do something that you have probably never done before.