So basically what it says. If neither world war was fought, would the technologies that came about as a result of military R&D durring them still be invented around the same time, "eventually", or not at all? For example without WWII would nuclear power, jet engines, or computers still exist as we know them?
In 1900, Great Britain has built a vast, globe spanning empire. France, Russia, and the Netherlands have a great deal of territory. There are those nations, like Italy and Germany, that feel underprivileged. And those, like Japan that feel entirely left out.
The Colonial spree and a confrontation about who owns what doesn't need to end in WWI to end in war. No WW1 doesn't mean peace, it means no gigantic coalitions. A few political acts of backing away from alliances in Europe and the idea of nations fighting by themselves on their own wars alone isn't all that impossible.
So, the wars remain but fought in different directions. France fights Germany, but France and Germany do it mano a mano. Austria vs Serbia turns into Austria vs Russia, with no one else in play.
WWI doesn't happen. The wars, the technology does. And its fair that casualties include a socialist journalist turned hypernationalist in Italy; a failed painter messenger in Germany, or a man with a bad arm in Russia.
So the post 1914 era is likely to be unreadable at a fine point, but consider the rise of nuclear weapons. By 1960, computers are likely to have gone forward, at or slightly faster than OTL. Refining fissionables is no longer the incredibly difficult task given this technology, and building nuclear weapons (not Hydrogen Bombs) isn't all that difficult.
Instead of OTL, where Superpowers emerged and maintained a single detente, you are looking a multipolar world. And a world that's likely to acquire nuclear weapons near the same time. No crash project in the 1940s, and they show up in the 1960s. A lot of nations get them.
They start getting used.
I'm not sure that the outcome will be a For All Time sort of ending where more and more nuclear wars get waged, but there's going to be at least one, if not several serious nuclear attacks. Humanity may ultimately make a deal with itself to prevent first use of such weapons and make war so undesirable that attacking a member of the nuclear club is suicidal and so peace is forced (similar to OTL), but that learning curve may well be Cuban Missile Crisis goes hot style bad; it's probably more than two cities and one war.
The United States is a sleeping titan, now armed with a vast stockpile of nuclear weapons, and probably fusion ones too. The rest of the world now settles its issues via global discussion, as nuclear weapons create a "Forced Peace" to prevail.
Not only does this world have alt wars to replace WW1 and WW2, they go up to WW3. After the forced peace, the world has heavily disarmed, as a few hundred nuclear weapons and bomber wings are all that's required to ensure security. This is not a utopian world, but its one that's reasonably tolerable. There may well be no Communism or Fascism, different ideologies are likely to rise from different places. I actually see the modern day dominated by "Social Survivalism", facing the reality that nuclear war may well come any day and that surviving it is possible and desirable. Opposing the somewhat Social Survivalists are Internationalists--those interested in solving the issues of nuclear war and the nightmare to follow by building diplomacy, economic ties and for a few extremists, a one world government.
Technology reflects these social developments. Building vast underground tunnels is critical. Long Distance Subways 100' underground, powered by geothermal energy, or even nuclear reactors. Humanity doesn't reach for the stars, it digs for safety. Nuclear Weapon yields keep going up, but going through 100' is still no easy task. Computers and the Internet are critical to surviving a nuclear war, which is an even greater danger ITTL.
(ITTL, it's not likely to be a "BIG ONE", it's likely to fewer weapons but that risk is higher) Aircraft continue to advance; I do think rocketry is likely to be less advanced because the appeal of blowing someone up on another continent isn't there. Medical technology is around the same speed as OTL, but AIDS never appears because there is no attempt to fight polio with unsterilized needles in West Africa.
The prospect of the world as a series of nuclear armed camps isn't the great globalization we have today; the world is likely a bit poorer but also a bit more equitable, it's hard to say that's objectively a bad deal for everyone.