I think we can be confident that the really definitive work on this subject hasn't happened yet -- thank heaven.
1. https://en.wikipedia.org/wiki/Nuclear_winter#Criticism_and_d...
AKA The Putin Way.
Here's a blog article about it [2].
Here's the abstract:
> A limited nuclear war between India and Pakistan could ignite fires large enough to emit more than 5 Tg of soot into the stratosphere. Climate model simulations have shown severe resulting climate perturbations with declines in global mean temperature by 1.8 °C and precipitation by 8%, for at least 5 y. Here we evaluate impacts for the global food system. Six harmonized state-of-the-art crop models show that global caloric production from maize, wheat, rice, and soybean falls by 13 (±1)%, 11 (±8)%, 3 (±5)%, and 17 (±2)% over 5 y. Total single-year losses of 12 (±4)% quadruple the largest observed historical anomaly and exceed impacts caused by historic droughts and volcanic eruptions. Colder temperatures drive losses more than changes in precipitation and solar radiation, leading to strongest impacts in temperate regions poleward of 30°N, including the United States, Europe, and China for 10 to 15 y. Integrated food trade network analyses show that domestic reserves and global trade can largely buffer the production anomaly in the first year. Persistent multiyear losses, however, would constrain domestic food availability and propagate to the Global South, especially to food-insecure countries. By year 5, maize and wheat availability would decrease by 13% globally and by more than 20% in 71 countries with a cumulative population of 1.3 billion people. In view of increasing instability in South Asia, this study shows that a regional conflict using <1% of the worldwide nuclear arsenal could have adverse consequences for global food security unmatched in modern history.
[1] https://www.pnas.org/doi/10.1073/pnas.1919049117
[2] https://news.climate.columbia.edu/2020/03/16/even-limited-in...
Your conclusion doesn't follow. You're assuming that national leaders are rational: Putin's actions in Ukraine show that this is simply not something we can count on.
Personally, I think it's highly likely we're going to experience a major nuclear exchange in the next few decades or less, with all the horrors (including global starvation) that entails. It's apparent to me that humans are simply too stupid to keep a global society running without destroying themselves.
An available calorie reduction this fast means famine, nuclear winter or not. I think tangible consequences like this helps normal people to understand the risks of nuclear war more effectively than trying to explain nuclear winter.
The short-term impact of a major nuclear exchange is fairly well supported by science. Nuclear explosions, particularly thermonuclear explosions, are powerful enough to propel fine particulate matter high enough into the atmosphere that no rain can wash it back to the ground. Unlike smoke from a forest fire, it will persist in the atmosphere for decades and spread globally, dimming the sun and negatively impacting global temperatures and insolation across the planet. That means crop failures for everyone, not just the combatants.
A nuclear first-strike that successfully wipes out the enemy's ability to retaliate will likely still lead to global starvation for decades. While scary, this does make it less likely for a major nuclear power to ever use such a first strike. Even if you win, you lose.