Australia's next assignment is a test against South Africa in Brisbane in a fortnight. Already at a low ebb after their sixth consecutive test defeat, another loss would pile more pressure on Cheika and his employers the Australia Rugby Union.
The All Blacks machine, which stuttered on occasion in the drizzle in Wellington in the face of a vastly improved defensive effort from the Wallabies, is clearly on the right track, and Hansen will have even more options in terms of personnel in a fortnight.
Midfielder Ryan Crotty and hooker Codie Taylor will be available to play the Pumas, Hansen revealing today that the Crusaders pair, out with concussion, could have played last night if required.
Argentina will ask different questions of the All Blacks in terms of their set piece, but it's hard to see how they can seriously challenge the world champions, who have now won 13 tests in a row.
The performance on debut of 21-year-old Lienert-Brown was truly special and Dane Coles' performance at hooker suggested he is one of the best tight forwards in the game at present.
Told the result of the test between the Pumas and Springboks, Hansen said: "It's going to make our Hamilton game a goodie isn't it? They were pretty unlucky [against South Africa] last time. They were right in the hunt until the last few minutes.
"That's good. Both of those sides are playing well and it's now for us to take a wee breather and in the middle of the week we'll start to look at them a bit more thoroughly."
There is unquestionably a lot of pleasure for the All Blacks in sealing the Bledisloe Cup for the 14th year in succession, but little for the pain that Australian rugby is going through. Former skipper Richie McCaw spoke beforehand of his hope that the test in Wellington would be more of a contest that the humiliation in Sydney, with Hansen saying afterwards that it was important for the game that the Wallabies bounced back.
"We want a strong Southern Hemisphere game and we want our closest neighbours to be really strong," he said. "They'll come right, though, I'm confident of that. They've certainly go the players to be a very good side."