As mentioned by other people in this thread, try to think of the new Calming Verse as a fully different skill with different ways to use it optimally. While the old skill needed to be used every time it was off cooldown and was a hefty source of optimal dps/hps, the new skill has internal tensions built in to make it a good choice at the correct time, not all the time. Dps/hps of the class, when fully traited out, should be as high or higher then it was before. The "loss" of Calming Verse should ideally feel more liberating then anything.
Consider:
Do I pop CV before I use a big EC, or wait to see if it pulls aggro?
Do I pop CV before using "That Which does Not Kill Us" for the power cost reduction, or save it in case I pull aggro?
Do I pop it while moving to a new place to stand and heal to use a few MV's on the move, or do I save it in case I pull aggro later?
Is the attunement reduction worth the benefits at this point in the fight?
Etc.