It depends on the way you read it. Nuclear bombs cause bloodshed. The blood might be vaporized, cooked, or irradiated - but still shed.
I don't think that's what OP meant; rather I read it literally, to mean one day there might actually be a world without war, or at least, a world without violent wars.
We aren't in a position to answer this one one way or the other.
If things go very wrong they have the potential to take us out. But a non-nuclear WWIII could, also--not by direct kills but by taking down the interconnected stuff that makes society work.
Also, while they serve to prevent direct wars between major powers they cause proxy wars between the major powers.
I don't think that's what OP meant; rather I read it literally, to mean one day there might actually be a world without war, or at least, a world without violent wars.