Tarpits to slow down the crawling may stop them crawling your entire site, but they'll not care unless a great many sites do this. Your site will be assigned a thread or two at most and the rest of the crawling machine resources will be off scanning other sites. There will be timeouts to stop a particular site even keeping a couple of cheap threads busy for long. And anything like this may get you delisted from searc…
Can you put some topic in tarpit that you don't want LLMs to learn about? Say put bunch of info about competitor so that it learns to avoid it?
The only affect tar-pitting might have is to reduce the chance of information unique to your site getting into the training pool, and that stops if other sites quote chunks of your work (much like avoiding github because you don't want your f/oss code going into their training models has no effect if someone else forks your work and pushes their variant to github).