C&R councillor Noelene Raffills said she and C&R colleague Des Morrison had contacted Mrs Webster to distance themselves from the attack.
"Nasty, personal comments are not my style," Mrs Raffills said.
The right-leaning independent councillor Calum Penrose said the attack on Mrs Webster overstepped the mark and suspected it was the work of Mr Bhatnagar. So, too, did Mrs Webster, who called it "nasty, personal politics".
Mrs Fletcher said Mr Bhatnagar confirmed they worked on the press release together, but Mrs Fletcher said she used the words "Penny is in the mayor's pocket" in the context of the affordability of the Auckland Plan.
The press release followed what one C&R source said was a robust internal policy debate which had its "stressful moments". Another source said Mrs Fletcher threatened to resign during the debate.
Mrs Fletcher said she would have stepped aside if there was a conflict between her position as an Auckland Transport board member and C&R policy on the rail loop, which she has supported.
But Mrs Fletcher said she was not put in that position after C&R and three right-leaning independent councillors reached a policy position of proceeding with preliminary work on the rail loop but wanted to see costings on a scaled-back project.
Dick Quax who, with George Wood, is one of the two C&R councillors most sceptical about the rail loop, said he was still not comfortable with the project and believed the ticket did not have a firm position.
Meanwhile, Mr Bhatnagar has denied a suggestion that he approached the council to be employed to provide opposition communications.
He said the subject was raised with a council official but he had no interest in a paid role as a "spin doctor".
ROUGH POLITICS
* Citizens & Ratepayers leader Christine Fletcher reportedly threatens to resign.
* She stays on, but under fire for attacking another councillor.
* C&R member Aaron Bhatnagar blamed for negative tactics.
* C&R policy on inner-city rail loop unclear.