My STF-3 sounds great with music, as did my STF-1! The VTF-3 should be even better. No one-note bass here. Nice, sharp kick drums and melodic bass runs. But I listen to rock and blues. I can't speak for classical or jazz presentations. The VTF-3 would definitely get my vote. I've heard several large model Velo subs, but not the HGS12, and found them wanting.
But I'm sure you'd be really happy with either.