So we need about 5-10 times larger bombings when ww2 to cool the global temperature with one degree. But we have increased the global temperature with one degree thanks to global warming. So you need at least 10-20 times larger bombings then ww2 to get a tiny atomic winter. And probably a lot larger to get any catastrophic cooling.
Well we’ve done 2 over cities closely spaced with each other and also following a firebombing campaign that burned a lot more cities. If a burning city or forest was all that was required for a nuclear winter we’d have had one long ago. Forests burn without the aid of nuclear weapons.
To get to nuclear winter levels of ash and dust you probably need dozens to hundreds of detonations and burning cities.