system
Given the following post, respond as if you're commenting on Reddit:
human
[Dune] Would a AI/robot fleeing into unknown space provoke humanity into pursuing it?

OK, so here's a question. I'm semi-familiar with Dune, I've seen the movies, skimmed some of the books and read discussions of them, so my insight is limited.

I get that general-purpose and networked computers are total taboo and not allowed (though Ix did eventually start using simple computers to get around certain tech' problems), any automation is highly limited and analogue (if present at all), however humanity also seems restricted to a specific area of space and doesn't care to expand.

Taking that into account, if an AI/robot was discovered or sighted at the edges of Known Space, it didn't take any aggressive action towards humans, didn't seek to interact with them, and was solely interested in leaving human space and never returning, would humanity attempt to pursue and eradicate?

I guess what I'm asking is, the Butlerian Jihad applies to everything in human space, but would they travel far from their sphere of influence to destroy a thinking machine if no further contact was anticipated, or if that same thinking machine said it actively wanted to avoid them? How deep is their taboo and hatred? Would they be able to ignore such a thinking machine if they'd never see or hear from it again, or would humanity/the Spacers Guild/The Sisterhood/someone else absolutely go out of their way to destroy it?

Any thoughts, examples or opinions appreciated in advance, I'm just trying to get a grasp of some nuance here.
gpt
Given the premise that "thinking machines" would evolve and outpace mankind, they would have no other choice than to seek out and destroy any and all existing AI. The initial intent of said AI has no bearing on this. No matter how far, or how many generations pass, the hunt would never end until the task was done.