Very interesting topic, `coze that`s exactly what happened to me some time back in FRA !
(For all non-FRA users-missed 25L goes left turn/25R right turn )
We were on a 4 mile final ILS 25R when a heavy B747 started it`s takeoff roll. Same time a B 777 got line-up clearance behind the departing 74.
The TWR ATCO then switched to us " xyz 123 prepare for go around or you like to swing to 25L ?" We swung !
No heads down,
no FMC punshy, no ILS retune , just flightdirectors off and land.
The app/missed for 25L had been briefed before as well, just in case App ctrl would have switched us some time on intermediate or so.
When we touched the 777 was still on it`s roll. Imagine we would have pulled up and turned back to 25R !
Happy ldgs
Angel