That cannot be the logical follow-through. A collapsing society can do its best to recover - a nuked and destroyed, murdered wasteland cannot.
Climate-precipitated societal collapse is surely preferable to all over a large-scale nuclear war that is suggested to have been unilaterally invoked, tantamount to murder of billions and multiple genocides. That kind of 'solution' has no place in reasonable discourse about climate change mitigation or adaptation.