Not really. VoLTE is Voice over LTE[1], which most likely implements HD voice (wideband audio[2],) however, with carrier and device support HD voice could be done over 3G and 2G networks as well.
VoLTE is great -- I use it on Verizon. But at least with Verizon it is turned off by default and most people don't seem to turn it on. It is turned off by default because LTE coverage is not as complete as the legacy 3G coverage (yet).
Facebook audio as others have pointed out is great.
[1] https://en.wikipedia.org/wiki/Voice_over_LTE
[2] https://en.wikipedia.org/wiki/Wideband_audio