No, Bach and Beethoven, didn't make that many recordings, but many conductors and orchestras have made many recordings of Bach and Beethoven's music. With an orchestral piece, I enter the conductor as the Artist and the composer in the composer field. With classical music recordings, we are equally interested in the Artist and the Composer, but I'm more interested in pulling a list of recordings by a particular composer than a list of a particular conductor or orchestra.

That is why Andrei put the Classical View in place.