Stockpiles peaked at the end of the Cold War in mid-late 1980s with over 60,000 warheads. 40,000 when these children were being filmed. About 10,000 today and falling (although falling slower than it should). https://ourworldindata.org/exports/number-of-nuclear-warhead...
That doesn't solve anything either, countries could just start building nuclear weapons "in secret" at any time. What are you going to do about it? You can have sanctions, but those didn't stop NK or Iran.
Let's say that nuclear weapons didn't exist, what about biological and chemical weapons? What about endless trench warfare?
The real problem is war, not the means to it. It's conceivable that nuclear weapons prevented many wars, in a "high risk, high reward" type of situation.
Rubbish. We have fewer missiles, and the world is no longer engaging in proxy wars to achieve Soviet or US influence whilst those two are nose to nose in hostile and absurd posturing. There are no longer two or three Nato-Soviet incidents a week. There are no longer weekly scrambles of aircraft to intercept the bomber or spy plane.
The little local difficulty between India and Pakistan doesn't really compare. The decline of Western military spending and sale of former government nuclear bunkers rather gives that away.
But they've also been upgrading their civil defence systems and nuclear stock while Nato has been distracted.
IMO the current situation in Europe is very much still a proxy war, but it's a proxy war promoting hard-right regime change within the member countries of the EU and the US rather than a proxy shooting war in another continent.
That's progress of a sort, and it definitely shows signs of more intelligent strategic thinking than the USSR managed. But it's still a political war against the EU's liberal democracies, and a culture war against liberalism in general.