Wound in the Force (zDN) silly question

The zeta boost: "At the start of each of enemy turn, DN inflicts Health Down on them for 2 turns"

I want to make sure I understand the mechanism before I spend this zeta. Is it really worth it in practice to increase cooldowns more steadily? What are the pitfalls, especially against cleanser teams?

I'm running: Rex (L), Chaze, R2Z2 and DN.

Excluding Baze that has to be slow on purpose given that I don't have GK, DN is my slowest character with 195 speed.