Don't be silly. It's an opinion piece and doesn't affect hundreds of years of music at all.
In fact, it's more of a self-promotion gimmick, trying to simply stir up a renewed interest in Classical Music. THAT is ONE article, and certainly NOT representative of CLASSICFM on the whole. Browse their site for OTHER "learned" articles, and you'll find that no one is "cancelling" Beethoven, or any of the other European classical composers.
In this case, it actually IS what it is. We know that Europe dominates in terms of Classical music, and that Europe is full of Europeans, who, on the whole, are caucasian.
No one is blasting Asian art music for being Anglo-exclusionary, or indigenous African music for being anti-Asian. No one is complaining that there aren't more ragas written by white guys.
As for "Maybe it's time we break up with Beethoven once and for all…", only some sort of extremist would seriously suggest blacklisting Beethoven. No one is suggesting we tear down the Parthenon or the Pyramids or Stonehenge for being a product of where they were created.
Much ado about nothing, IMO.