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Adminer before 4.0.0 loaded syntax highlighter from adminer.org. It's now bundled locally. Adminer since 1.11.0 checks version using adminer.org. It sends just the current version number, nothing else. You can verify it by checking the source codes and the network traffic.
(I'm not sure if the typo3 extension sends anything else somewhere else, I'm not the author of it. But I don't think so.)