But as I understand it, the Web Archive does respect robots.txt, while LLM scrapers absolutely do not and use all sorts of dodgy methods to get around it already...

The actual root cause is that we're allowing LLM companies to completely disregard copyright laws for their profit. Whether the LLM companies scrape the Web Archive or the original source doesn't change the copyright infringement implications in any way, and cutting off the web archive doesn't practically change anything (because as I understand, LLM scraping is already prolific all over the web).