Nope. Rewatch the episode
It is inevitable that both war would cause a different result. Because it happened in different time.
Now, the example, what happen if World War 2 not started in 1939 and ended in 1945, but started in 1960 and ended in 1965?
1st. The intellectual actors / leadership in the war will definitely be different. At least from the western Alliance side. For example, the President of United States would be definitely a different person.
2nd The people who supposedly single and died in the original timeline of WW2 would survived, and maybe even have descendants. While in other hand, the people who supposedly alive after 1965 in the original timeline could died without any descendant in the 1960 World War 2.
3rd And about both wars had different intellectual actors / leaderships, what happen in the war can dramatically very different. Even if the result was the same.
So how could a universe with a Eugenic War that happen in 1992 and a universe with A Eugenic War that happen much-much later can be the same?