Yes, it kind of is. A search engine just looks for keywords and links, and that’s all it retains after crawling a site. It’s not producing any derivative works, it’s merely looking up an index of keywords to find matches.
An LLM can essentially reproduce a work, and the whole point is to generate derivative works. So by its very nature, it runs into copyright issues. Whether a particular generated result violates copyright depends on the license of the works it’s based on and how much of those works it uses. So it’s complicated, but there’s very much a copyright argument there.