Ive never heard the second kind. I’ve heard beautifully melodic Davening. People don’t generally call that “chazzanus” chazzanus to me generally implies a certain imitation operatic like tone with a huge increase in the number of syllables, drawn out words, and general extreme slowness.
Perhaps we are all talking about different understandings of what “chazzanus” is.
But what I call chazzanus…belongs in concert halls, auditoriums, and synagogues, not in a Shul, not in a Beis Ha Knesses.