Are these Easter Island carvings really comparable to Göbekli Tepe?

I’d start with the collection record, not the side-by-side pictures. For each object, look for an inventory number, description, documented origin, date or dating method, and a clear account of how it entered the collection. A broad claim about a thousand objects needs a catalog you can check, not just a count in a post.

Then separate what is documented from what is interpretation. A record that an object came from Rapa Nui would not, by itself, establish its age or explain what it represents.

Resemblance is a starting point for a question, not proof of a connection. Animal-like forms and repeated shapes can appear in very different places for different reasons. To argue for a historical link, you’d need evidence beyond a visual match, such as secure dating and a plausible chain of contact.

I’d also want the Rapa Nui context treated as more than a footnote. Who made or used the objects, what is known about where they came from, and how Rapa Nui perspectives inform their interpretation all matter. If those details are missing, confident claims about what the pieces mean should wait.