It's been subject to many academical research projects[1], I lost count now. It even made it into books[2][3]. We used to provide raw text dumps to researchers, or they would crawl the site themselves. One interesting paper claimed that Eksi Sozluk users were able to detect earthquakes very early and reliably[4]. Internet Archive also hangs around the site, archiving here and there. But a proper and full archive should be preserved, I agree.

[1] https://scholar.google.com/scholar?lr=lang_en&q=eksi+sozluk&...

[2] https://www.routledge.com/The-Routledge-Companion-to-Global-...

[3] https://www.twitterandteargas.org/

[4] https://gc.copernicus.org/articles/4/69/2021/