Bacon (the artist) shouldn't have been allowed to overload that name. He should have been forced to use, say, Francis L. Bacon (yes, I realise he didn't have a middle name).
But why? It was his actual birth name. He also wasn't knighted so you could use the title "Sir" to distinguish the other Francis Bacon from him, though I've noticed Americans don't use the title generally when referring to those knighted in the UK (and presumably other countries as well).