Correct and we agree. But, something is missing.
Reagan realized for a plethora of social, geopolitical, economic, and military reasons, the Soviet Union was unstable and unsustainable. And in his second term, he realized NATO, US, and other Western nations were in such advantageous positions, they had the strength to reach out to the Soviets and address their concerns without risking core Western interests and security. That's the genius of Reagan we don't see in US leaders today.
How did Reagan reach his eventual position to address the Soviets' security interests? The great man gave us the answer in his autobiography, An American Life, where he wrote:
"The Pentagon said at least 150 million American lives would be lost in a nuclear war with the Soviet Union — even if we 'won.' For Americans who survived such a war, I couldn't imagine what life would be like..."
He said the West could be safer by addressing reasonable Soviet core interests, but hawks in Congress, Pentagon, and policy making circles saw that as "appeasement" and were against it. Reagan overruled them and went ahead anyway. The rest is history.