When people look back on the dawn of the computer age a few centuries from now computers, the internet and AI will all be a part of the same innovation

Or AI will be remembered as the thing that destroyed the internet.

The internet is fine. The underlying systems that network things together still work as the internet is build on simple protocols.
- The World Wide Web, then

People? A few centuries from now?

Hundred years ago probably:

“I bet in a century, people won’t remember the steam engine, assembly lines and telegraph, they’ll just remember the Industrial Revolution. “

Planes and trains are the same! It’s all industrialization!! /s

40 years apart? call me skeptical

The civilisation of ancient Egypt lasted 3000 years and now we think of them as a homogeneous group who all built pyramids and wrote in hieroglyphs.
I think it depends on when you look back from.
I think of WWI, the Inter-War period, and WWII as three separate periods of time and they cover about 40 years.
I think of The Louisiana Purchase (1803), the start of the Monroe Doctrine (1823), and the Mexican-American War (1846-1848) as all happening about the same time, despite covering about 45 years (before double checking just now, I could've sworn the Mexican-American War was in the 1830's, and that Monroe was president in ~1816, which only drives the point home more).
I doubt we'll feel the difference by 2100, but between 2200 and 2300 is when I expect that blending to happen.
The industrial revolution lasted almost 100 years, but we generally clump all of those advancements in one big group.
In 2100, those 40 years won't mean a thing.
- I'll have to wait and see
  I'm young enough that I will probably still be around as we approach 2100.
- 2100 noone will be around to ask the question more like it.
- that seems like a bit different than 'the same innovation' implied by op
  it would be like conflating the invention of the ICE with space travel as 'the same innovation'. id argue that would never happen, and neither would 'the internet' and 'LLMs'

Have you heared about Kondratiev‘s waves yet? Indeed we‘re at the end of the IT cycle. https://en.m.wikipedia.org/wiki/Nikolai_Kondratiev

The new infrastructure cycle for next 40 years is something like renewable energy/ reusable materials, I assume