Early indications suggest that the Wallabies are using similar ploys to those Deans used when he coached in Canterbury.
The next challenge for the All Blacks will be against Deans' Wallabies at Sydney on July 26.
"We are not just going out there to get one up on the coach," Carter said.
"There is a real rivalry there.
"After going down [on Saturday night] we want to win this first Bledisloe Cup game. It's going to be a tough challenge in Sydney but hopefully we can bounce back."
Carter has not yet seen the Wallabies in action this year.
"Now that we have got the South African tests behind us I will have a good look [at video replays] to try and analyse their key patterns to see if Robbie's influence is rubbing off," he said.
Carter described Deans as "a pretty relaxed character and the Wallabies will feed well off that.
"He knows how to bring out the best in players."
Carter is familiar with the strategies that Deans used with the Crusaders.
But it can work in reverse.
"Robbie will know the common traits of certain players in the All Blacks," Carter said.
The All Blacks missed the skills of their injured captain, Richie McCaw, at the breakdown in the Carisbrook test.
"He is a world-class player and will always be missed when he's not out there," Carter said.
"But the guys out there got stuck in."
Asked if it was hard losing at home after being unbeaten for 30 consecutive home tests, Carter said: "It has been a long time and we are not used to losing at home.
It's disappointing to go down in front of the good crowd that came out . . . But we are proud of our record."
Carter praised the defence of the Springboks.
"It was a tough line to crack," he said.
"It was always going to be a tight test match, neck to neck.
We knew that we had to make the most of any advantage we had whether it was penalties or dropped goals."
Carter came close with a late dropped goal that would have won the game for the All Blacks but it just veered to the left of the posts.
"I guess right at the end the execution wasn't quite there," Carter said. "I probably struck that one better than the one that went over.
I am always trying to succeed with one of these late goals, but unfortunately not tonight," he said after Saturday night's test.
In the final few minutes the All Blacks were attacking with a series pick-and-go rushes.
"There had been a lot of penalties throughout the game so I guess the possibility was there," Carter said.
"We were keen to get in behind them in the rucks. If we got a bit of momentum it would have made it so much easier to get a dropped goal.
"They put on a lot of pressure and shut down the time and space and it made the dropped goal harder to execute."
Carter said the Springboks stepped up physically from the Wellington test and were smarter as well.
"They defended really well," he said.
"It was a rather frustrating night out there for us."
The South African line-out functioned much better and it was difficult for the All Blacks to gain attacking ball from the set piece, Carter said.
"We will have to look at some variations and options to try and counter that."
Carter has been targeted physically by the Springboks in the two tests and has come away with some bumps and bruises.
"I will enjoy the week off," he said.
"The body is pretty sore for a couple of days after these games.
"I enjoy that physicality. It's all part of test match rugby.
"After a week off I will be ready and eager to go for another couple of tough weeks."
