But anyone can attest as to whether this works for “classics” of classical music: your Bachs, your Haendels, your Mozarts, your Beethovens, etc.

Let us see what happens when we search for the composers who have followed those in the same way modern art has followed the fine arts:

Excellent! #PierreBoulez, #OlivierMessiaen, #ArnoldShoenberg, and #BélaBartók, probably the foremost modern classical composers, not only are found without trouble but have excellent landing pages.