I'm also coming at it from a Western perspective, and I agree that in the US karaoke audio tracks are usually covers. But the typical situation is not effectively like meaning. Tables are typically not made of gold, because that's so expensive, but if you show someone a solid-gold table they will not be unsure whether it's a table. The defining features of tables have to do with form and function, not the chemical composition. (In fact, if we can even go to the extreme of considering a hypothetical single-piece diamond table, which presumably has never existed. If one were created, everyone would instantly recognize it as a table.)

See the many examples (in the West) of tools that remove vocals from audio tracks; they are ubiquitously described as useful for creating karaoke audio tracks:

https://vocalremover.org/

https://tunebat.com/Vocal-Remover

https://www.conversion-tool.com/karaoke/

https://www.songpeel.com/song-to-karaoke