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Former England captain Michael Vaughan said the tourists were guilty of a "lack of respect" and former England opener Geoff Boycott said they were "sloppy, careless, and I feel there's almost a holiday atmosphere".
"England didn't respect the game," Vaughan told BBC radio's Test Match Special programme. "England's mindset has been over-confident; they weren't prepared to do the hard yards."
Vaughan, who captained England in 51 of his 82 tests, later wrote in The Telegraph, "It is excusable to be bowled out by an attack containing Saeed Ajmal, as they were in the first Test in Dubai last year, or Dale Steyn on a green top at the Wanderers, but to be dismissed by Bruce Martin and Neil Wagner on a pitch that did not do a great deal tells you something is not right upstairs. These players are too good to produce performances like that.
"Would they have been dismissed for 167 on the first morning of an Ashes Test in front of a full house at Lord's or Brisbane? No chance. But the same attitude has to apply on a freezing, windy morning in Dunedin."
Populist tabloid The Sun, used the headline, 'Dun for! Horror show leaves England humiliated' and went on to say: "The root cause was a batting display of such ineptitude that it was almost impossible to comprehend.
"Batsman after batsman tossed his wicket away on a docile pitch against an attack that should cause no decent player to lose sleep.
"They continually hit the ball in the air - and the New Zealand fielders gratefully swallowed the chances. It was a pile of utter tosh."