As far as I know, they don't work together. It might be possible once all of the phones are switched to VoLTE with HD Voice. We won't know until then.
On a side note, I personally have only called one person in 20 years of owning a cell phone and be greeted with a song instead of the ringing tones. I don't recall the song specifically, but I know I didn't care for it. I much prefer hearing the ringing tone.
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.