What I have heard from HI Sutton is that, it is difficult to fire supersonic and hypersonic missiles through torpedo tubes (because of size?), and that is why only the Russians have mastered that capability with VLS cells on board the Oscars and the Yasens. Other countries, like the US, also has VLS cells on nuclear subs, but they don't have a dedicated anti-ship supersonic missile.
The Song and Yuan classes do fire cruise missiles from torpedo tubes, but these are YJ-83 and YJ-18 with subsonic speed (except YJ-18 turns supersonic in the terminal phase).