I think there are 2 false statements here. First, you could have conventional conflict alone, the same way you had WW2 without extensive use of chemical weapons.
Second, there are possible paths to have a winnable nuclear war, actually, the US did have one a couple of decades ago and it won. I do agree that saying this out loud though is dangerous because the reason for nuclear taboo is also based on the perception of "end of world" it has.