It means the Peruvian team will arrive in Lima almost 24 hours of the All Whites, and their direct charter flight also means they will have less travel time and slightly fewer hours in the air.
But NZF is playing down the difference, saying it will be irrelevant in the context of the tie.
"You can look at it either way," said NZF CEO Andy Martin. "On Saturday night our boys will be sleeping in their own beds, they won't be getting out of a dressing room and rushed onto a plane. It will be very difficult for anyone with knocks from their side, whereas we'll make Sunday good for our team. They'll sleep well, have a recovery session, and then the whole journey will be seamless from there. We are confident and [coach] Anthony [Hudson] is happy with the way it has worked out."
Martin said they strongly considered a charter flight, but in the end it wasn't feasible.
"It's been a challenge because of the limited options coming out of New Zealand to South America," said Martin. "Our board gave us the backing to look for all possible solutions. We spent three or four days looking at the best options and Air New Zealand has been brilliant in what they have come up with."
However the challenge for Hudson and his squad will be making the most of their limited time in Lima. They'll arrive on late on Sunday night (local time) and have their first training session the following day, at which stage players will still be shaking off the effects of jet lag. Lima will also be a shock to the system, with the chaos and colour of nine million people jammed into a buzzing metropolis, which represents the third largest city in South America.
The size of the city also means that nothing is easy; popping out for a stroll or a coffee will be out of the question due to security concerns, while the journey to the training venue (as well as the national stadium for the captain's run) could be complicated, with high potential for traffic jams (whether incidental or 'arranged'). There will also be a significant language barrier, as English isn't widely spoken outside the hotels and main tourist centres.
The All Whites will have one more training session on the ground in Lima on Tuesday (local time), but that will need to be low intensity, as it is the day before the match on the Wednesday night (Thursday NZT).