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Not everything in life is a scientific experiment that fits into an undergraduate "research methods" model of the world.

What does it even mean to conduct a sampling of "findability" within a system whose results depend on when you search, who you are, where you search from, and the subject on which you're searching? We're way beyond Schrodinger's cat level of uncertainty with these non-deterministic systems and their hidden actors explicitly manipulating the results (as "guardrails", "moderation", whatever).

Search (and AI) is a principal agent problem and there are insoluble trust issues around information technology today that make a "scientific" approach rather naive.