They probably could, indeed - but you’d need multiple different applications, each for one use case. In the meantime a LLM offers you a tool that won’t hit all the nails, or screw all the screws, but does both decently enough in the lack of both a hammer and a screwdriver.
At least when it comes to languages, the eurocentrism and subjectivity are being addressed for at least a century. Sapir for example proposed that the “classical languages” weren’t just two but five - Arabic, Chinese, Greek, Latin, Sanskrit. And the definition became roughly “varieties with a heavy and outlasting impact outside their native communities”. (Personally I’d also add Sumerian, Quechua and Nahuatl to that list. But that’s just me.)
Additionally plenty linguists see the idea of “classic” not as specific languages, but as a potential stage of a language, assigned retroactively to the period when its prestige and cultural production were specially strong. For example, Classical Ge’ez is defined as the one from centuries XIII~XIV.