The decision came after councillors discussed the Fire Authority's consultation document, which they rejected as "skewed" and intending to lead consultees in a specific direction.
Cllr Marc Jones, of Plaid Cymru, said:
"There was a clear feeling that the consultation was designed with only one option on the table. Wrexham has a 1,000 call-outs a year - a quarter of all those in the North - and this would stretch our crews beyond the limit.
"Rhosddu CC agreed that any shortfall in funding should be made up by cutting the Fire Authority's senior fire officers and ensuring increased contributions by the six county councils.
"We all value our firefighters, who risk life and limb to save other people."