Since the first Test between the two in 1905 when the All Blacks were disallowed a try, there has always been an edge to games between the two, but not having beaten the All Blacks since 1953 would give Wales extra incentive in Tokyo.
Assistant coach Robin McBryde said: "I don't think it would be the same if we were facing somebody else.
"I'm glad the game exists because it's against the All Blacks."
In coach Warren Gatland's career, the only international side Wales have not beaten is New Zealand.
McBryde said the Friday game would be the last opportunity to do that.
"Any time you face the All Blacks it will be a good encounter and a great experience. You can't shy away from it, you have to embrace it – facing the haka," he said.
"It would be good to get one over on Steve [Hansen] – he's miserable as hell isn't he?
"I can say that because I know him pretty well. I've got the utmost respect for them as a coaching team. We go back a long way.
"I look forward to crossing paths again – and if we manage to get one over on them, then brilliant," he said.
Although it is a quick turnaround after their Sunday loss to the Springboks, McBryde said Wales had to put the disappointment behind them.
"We have to get rid of that now, focus on Friday and finish the job.
"We've been together for five months. It's an opportunity to go out there and show what we've been working on.
"The players will not be under the pressure of having to win and I hope they go out there and enjoy it. I think the game will be opposite to the semifinal and we will enter the spirit of the occasion. The difference Warren has made is that there is expectancy now.
"Anyone playing Wales knows they are in for a tough game," he said.
Hooker Elliot Dee said: "We owe a lot to Warren and the coaches and we want to send them off well with a performance in what is a massive match for us.
"Warren was the guy who gave me my chance at this level and filled me with belief. I dreamed as a kid about playing for Wales and I will always be grateful to him.
"The boys put in a massive shift against South Africa in a hugely physical encounter, but playing the All Blacks is what you want.
"The boys will leave nothing out there and I am sure it will be one hell of a Test. Playing for third is not ideal but we are hungry for the win and will be giving it our all knowing that beating them would be a huge achievement. We have got to turn disappointment into fire," he said.