It is not remotely the same, the companies training the models are stealing the content from the internet and then profiting from it when they charge for the use of those models.
We are not taking about billboards here, we are talking about copyrighted works, like books.
If you want to do mental gymnastics and call "consuming" the web the act of downloading books without paying for them, then go ahead, but don't pretend the rest will buy your delusion.
The more literature I consume, and the more I re-draft my own attempt, the more I see the patterns and tropes with everyone standing on the shoulders of those who came before.
The general concept of "warp drive" was introduced by John W. Campbell in 1957, "Islands of Space". Popularised by Trek, turned into maths by Alcubierre. Islands of Space feels like it took inspiration from both H G Wells (needing to explain why the War of the Worlds' ending was implausible) and Jules Verne (gang of gentlemen have call-to-action, encounter difficulties that would crush them like a bug and are not merely fine, they go on to further great adventure and reward).
Terry Pratchett had obvious inspirations from Shakespeare, Ringworld, Faust (in the title!).
In the pandemic I read "The Deathworlders" (web fic, not the book series of similar name), and by the time I'd read too many shark jumps to continue, I had spotted many obvious inspirations besides just the one that gave the name.
If I studied medieval lit, I could probably do the same with Shakespeare's inspiration.
It is not remotely the same, the companies training the models are stealing the content from the internet and then profiting from it when they charge for the use of those models.