"There are plenty of other people who can take measures to combat climate change and I worry that people, in their great enthusiasm for doing good, are actually putting at risk central bank independence," King said.
They were in a minority in a conference packed with central bankers who had long accepted they had some duty towards the environment and, in many cases, were already taking some steps.
"It would be misleading to use tighter financing conditions as a scapegoat for further delays in the green transition," Schnabel said.
"By saying we have a role to play in helping to finance the green transition... we are increasing this misunderstanding of what our role is," said Wunsch, Belgium's central bank governor.
Singapore's Ravi Menon, meanwhile, said central bankers should do much more to help the economy reduce its emissions than just focussing on the risks.