I never claimed it wouldn't have consequences for the climate, but there is a big difference between that and the assertion I am replying to, namely, "our reserve count [our current inventory of nukes] is more than enough to wipe out any and all civilization".
When Canada was on fire last year, we had smoke all down the east coast. I don't know if it affected the temperature, but it sure affected the environment. it doesn't need to go full ashen-winter to fuck up plant growth cycles for farms and whatnot, I'm sure.
If Earth's megacities get nuked I refuse to believe that it would not have consequences for the climate.