By 'day off' I suspect Ali is more likely referring to a '24hr slip pattern'.
Not fly to New York Monday, have Tuesday off, fly back Wednesday, but ...
fly to New York Monday (arriving say 1900 local) , depart 2100 local Tuesday , arriving 0900 Wednesday UK time.
So, 24 hours in New York having arrived at UK midnight and ready for bed. Leave hotel about 1830 local (2330 UK) just when ready for bed again for the night flight home and to be greeted by the rising sun at 30W!
All pure glamour! Can't say I miss it much